diff --git a/data/bcsstk13_celeb.mtx b/data/bcsstk13_celeb.mtx
new file mode 100644
index 0000000000..4a20efef69
--- /dev/null
+++ b/data/bcsstk13_celeb.mtx
@@ -0,0 +1,44757 @@
+%%MatrixMarket matrix coordinate real symmetric
+%-------------------------------------------------------------------------------
+% UF Sparse Matrix Collection, Tim Davis
+% http://www.cise.ufl.edu/research/sparse/matrices/HB/bcsstk13
+% name: HB/bcsstk13
+% [SYMMETRIC STIFFNESS MATRIX, FLUID FLOW GENERALIZED EIGENVALUES]
+% id: 35
+% date: 1982
+% author: J. Lewis
+% ed: I. Duff, R. Grimes, J. Lewis
+% fields: title A name id date author ed kind
+% kind: computational fluid dynamics problem
+%-------------------------------------------------------------------------------
+2003 2003 42943
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diff --git a/experimental/algorithm/LAGraph_RichClubCoefficient.c b/experimental/algorithm/LAGraph_RichClubCoefficient.c
new file mode 100644
index 0000000000..d421a88218
--- /dev/null
+++ b/experimental/algorithm/LAGraph_RichClubCoefficient.c
@@ -0,0 +1,403 @@
+//------------------------------------------------------------------------------
+// LAGraph_RichClubCoefficient: rich club coefficient of a graph
+//------------------------------------------------------------------------------
+
+// LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.
+// SPDX-License-Identifier: BSD-2-Clause
+//
+// For additional details (including references to third party source code and
+// other files) see the LICENSE file or contact permission@sei.cmu.edu. See
+// Contributors.txt for a full list of contributors. Created, in part, with
+// funding and support from the U.S. Government (see Acknowledgments.txt file).
+// DM22-0790
+
+// Contributed by Gabriel Gomez, Texas A&M University
+
+//------------------------------------------------------------------------------
+
+// Get the rich club coefficient of a graph.
+
+// Given a Symetric Graph with no self edges, LAGraph_RichClubCoefficient will
+// calculate the rich club coefficients of the graph. 
+
+// The values will be output as a sparse GrB_Vector, the rich club coefficient 
+// of k will be found at the closest entry at or above k.
+
+// The G->out_degree cached property must be defined for this method.
+
+// References:
+
+// Julian J. McAuley, Luciano da Fontoura Costa, and Tibério S. Caetano, “The 
+// rich-club phenomenon across complex network hierarchies”, Applied Physics 
+// Letters Vol 91 Issue 8, August 2007. https://arxiv.org/abs/physics/0701290
+
+#define LG_FREE_WORK                                    \
+{                                                       \
+    /* free any workspace used here */                  \
+    GrB_free(&D) ;                                      \
+    GrB_free(&P) ;                                      \
+    GrB_free(&A_deg) ;                                  \
+    GrB_free(&degrees) ;                                \
+    GrB_free(&deg_x) ;                                  \
+    GrB_free(&node_edges) ;                             \
+    GrB_free(&node_edges_x) ;                           \
+    GrB_free(&ones_v) ;                                 \
+    GrB_free(&edges_per_deg) ;                          \
+    GrB_free(&verts_per_deg) ;                          \
+    GrB_free(&iseq_2lt) ;                               \
+    GrB_free(&plus_2le) ;                               \
+    GrB_free(&rcCalculation) ;                          \
+    GrB_free(&ramp_v) ;                                 \
+    LAGraph_Free(&a_space, NULL) ;                      \
+}
+
+
+#define LG_FREE_ALL                         \
+{                                           \
+    /* free any workspace used here */      \
+    LG_FREE_WORK ;                          \
+    /* free all the output variable(s) */   \
+    GrB_free (rccs) ;      \
+}
+
+#include "LG_internal.h"
+#include "LAGraphX.h"
+
+typedef void (*LAGraph_binary_function) (void *, const void *, const void *) ;
+
+#define ISEQ_2ISLT                                                          \
+    "void iseq_2islt(int64_t *z, const int64_t *x, const int64_t *y)            \n"\
+    "{                                                                          \n"\
+        "(*z) = (int64_t)((*x < *y) + (*x <= *y)) ;                             \n"\
+    "}"
+void iseq_2islt(int64_t *z, const int64_t *x, const int64_t *y)
+{
+    (*z) = (int64_t)((*x < *y) + (*x <= *y)) ;
+}
+
+#define RICH_CLUB_FORMULA                                                      \
+    "void rich_club_formula(double *z, const int64_t *x, const int64_t *y)      \n"\
+    "{                                                                          \n"\
+    "   (*z) = ((double)(*x)) / (((double)(*y)) * (((double)(*y)) - 1.0)) ;     \n"\
+    "}"
+void rich_club_formula(double *z, const int64_t *x, const int64_t *y)
+{
+    (*z) = ((double)(*x)) / (((double)(*y)) * (((double)(*y)) - 1.0));
+} 
+int LAGraph_RichClubCoefficient
+(
+    // output:
+    //rccs(i): rich club coefficent of i
+    GrB_Vector *rccs,    
+
+    // input: 
+    LAGraph_Graph G, //input graph
+    char *msg
+)
+{
+    //--------------------------------------------------------------------------
+    // Declorations
+    //--------------------------------------------------------------------------
+    LG_CLEAR_MSG ;
+
+    // n x n Adjacency Matrix
+    // With values cooresponding to the degree of its column
+    GrB_Matrix A_deg = NULL;
+
+    // n x n Diagonal Matrix
+    // entries corresponding to degrees.
+    GrB_Matrix D = NULL;
+
+    // n degrees vector
+    GrB_Vector degrees = NULL, deg_x = NULL;
+
+    // n x 1
+    // contains the number of edges for which the ith node is
+    // the smallest degree node * 2 + # edges w/ same degree as the other node
+    // to account for double counting of edges w/ same degree as the other node.
+    GrB_Vector node_edges = NULL, node_edges_x = NULL;
+
+    // max_degree x 1
+    // the ith entry contains the number of edges whose lowest degree is i.
+    GrB_Vector edges_per_deg = NULL;
+
+    // max_degree x 1
+    // the ith entry contains the number of verticies whose degree is i.
+    GrB_Vector verts_per_deg = NULL;
+
+    // edge_vec_nvals x 1
+    // Vector of ones
+    GrB_Vector ones_v = NULL;
+
+    // Ramp vector
+    GrB_Vector ramp_v = NULL;
+
+    // 2 * (x < y) + (x == y)
+    GrB_BinaryOp iseq_2lt = NULL;
+
+    // [+].[iseq_2lt]
+    GrB_Semiring plus_2le = NULL;
+
+    // 2E_K / (N_k (N_k -1))
+    GrB_BinaryOp rcCalculation = NULL;
+
+    GrB_Matrix A = NULL; // G->A, the adjacency matrix
+
+    // Matrix used for row reduction
+    GrB_Matrix P = NULL;
+
+    GrB_Index n ;
+    
+    GrB_Index edge_vec_nvals;
+    GrB_Index max_deg;
+    bool iso = false;
+
+    void *a_space = NULL;
+    
+    int64_t *node_edges_arr = NULL, *deg_arr = NULL, 
+        *epd_arr = NULL, *ones = NULL, 
+        *vpd_arr = NULL;
+    GrB_Type epd_type = NULL, vpd_type = NULL;
+    int64_t epd_n = 0, vpd_n = 0, epd_size = 0, vpd_size = 0;
+    int epd_h = 0, vpd_h = 0;
+    GrB_Index *epd_index = NULL,  *vpd_index = NULL;
+
+    //--------------------------------------------------------------------------
+    // Check inputs
+    //--------------------------------------------------------------------------
+    LG_TRY (LAGraph_CheckGraph (G, msg)) ;
+    LG_ASSERT (rccs != NULL, GrB_NULL_POINTER);
+
+    LG_ASSERT_MSG(
+        G->kind == LAGraph_ADJACENCY_UNDIRECTED, GrB_INVALID_VALUE, 
+        "G->A must be symmetric") ;
+    LG_ASSERT_MSG (G->out_degree != NULL, GrB_EMPTY_OBJECT,
+        "G->out_degree must be defined") ;
+    LG_ASSERT_MSG (G->nself_edges == 0, GrB_INVALID_VALUE, 
+        "G->nself_edges must be zero") ; 
+
+    //--------------------------------------------------------------------------
+    // Initializations
+    //--------------------------------------------------------------------------
+    A = G->A ;
+    GRB_TRY (GrB_Matrix_nrows (&n, A)) ;
+    GRB_TRY (GrB_Matrix_new(&A_deg, GrB_INT64,n,n)) ;
+
+    GRB_TRY (GrB_Vector_new(&degrees, GrB_INT64, n)) ;
+    GRB_TRY (GrB_Vector_new(&node_edges, GrB_INT64, n)) ;
+    #if LAGRAPH_SUITESPARSE
+    GRB_TRY (GxB_BinaryOp_new(
+        &iseq_2lt, (LAGraph_binary_function) (&iseq_2islt), 
+        GrB_INT64, GrB_INT64, GrB_INT64, "iseq_2islt", ISEQ_2ISLT)) ;
+    GRB_TRY (GxB_BinaryOp_new(
+        &rcCalculation, (LAGraph_binary_function) (&rich_club_formula), 
+        GrB_FP64, GrB_INT64, GrB_INT64, 
+        "rich_club_formula", RICH_CLUB_FORMULA)) ;
+    #else
+    GRB_TRY (GrB_BinaryOp_new(
+        &iseq_2lt, (LAGraph_binary_function) (&iseq_2islt), 
+        GrB_INT64, GrB_INT64, GrB_INT64)) ;
+    GRB_TRY (GrB_BinaryOp_new(
+        &rcCalculation, (LAGraph_binary_function) (&rich_club_formula), 
+        GrB_FP64, GrB_INT64, GrB_INT64 )) ;
+    #endif
+
+    GRB_TRY (GrB_Semiring_new(&plus_2le, GrB_PLUS_MONOID_INT64, iseq_2lt)) ;
+    
+    GRB_TRY (GrB_Vector_reduce_INT64(
+        &max_deg, NULL, GrB_MAX_MONOID_INT64, G->out_degree, NULL)) ;
+    GRB_TRY (GrB_Vector_new(&edges_per_deg, GrB_INT64, max_deg)) ;
+    GRB_TRY (GrB_Vector_new(&verts_per_deg, GrB_INT64, max_deg)) ;
+    GRB_TRY (GrB_Vector_new(rccs, GrB_FP64, max_deg)) ;
+
+    //--------------------------------------------------------------------------
+    // Calculations
+    //--------------------------------------------------------------------------
+
+    // degrees = G->out_degree - 1
+    // Fill out degree vector, to target col_scale mxm on graphs 
+    // with singletons, scalar value irrelevant.
+    GRB_TRY (GrB_Vector_assign_INT64(
+        degrees, NULL, NULL, (int64_t) -1, GrB_ALL, 0, NULL)) ;
+    GRB_TRY (GrB_Vector_assign(
+        degrees, NULL, GrB_PLUS_INT64, G->out_degree, GrB_ALL, 0, NULL)) ;
+    GRB_TRY (GrB_Matrix_diag(&D, degrees, 0)) ;
+
+    // Each edge in the graph gets the value of the degree of its row node
+    #if LAGRAPH_SUITESPARSE
+    GRB_TRY (GrB_mxm(
+        A_deg, NULL, NULL, GxB_ANY_FIRST_INT64, D, A, NULL)) ;
+    #else
+    GRB_TRY (GrB_mxm(
+        A_deg, NULL, NULL, GrB_PLUS_TIMES_SEMIRING_INT64, D, A, NULL)) ;
+    #endif
+    // Sum the number of edges each node is "responsible" for.
+    GRB_TRY (GrB_mxv(
+        node_edges, NULL, GrB_PLUS_INT64, plus_2le, A_deg, degrees, NULL)) ;
+
+    // The rest of this is indexing the number of edges and number of nodes at 
+    // each degree and then doing a cummulative sum to know the amount of edges 
+    // and nodes at degree geq k.
+    GRB_TRY (GrB_Vector_nvals (&edge_vec_nvals, node_edges)) ;
+    #if USING_GRAPHBLAS_V10
+        if(n == edge_vec_nvals)
+        {
+            deg_x = degrees;
+            degrees = NULL;
+            node_edges_x = node_edges;
+            node_edges = NULL;
+        }
+        else
+        {
+            GRB_TRY (GrB_Vector_assign(
+                degrees, G->out_degree, NULL, degrees, GrB_ALL, 0, GrB_DESC_RS
+            )) ;
+            GRB_TRY (GrB_Vector_new(&deg_x, GrB_BOOL, 0)) ;  
+            GRB_TRY (GrB_Vector_new(&node_edges_x, GrB_BOOL, 0)) ;  
+            GRB_TRY (GxB_Vector_extractTuples_Vector(
+                NULL, deg_x, degrees, NULL
+            )) ;
+            GRB_TRY (GxB_Vector_extractTuples_Vector(
+                NULL, node_edges_x, node_edges, NULL
+            )) ;
+        }
+        GRB_TRY (GrB_Vector_nvals(&edge_vec_nvals, node_edges_x))
+        GRB_TRY (GrB_Vector_new(&ones_v, GrB_INT64, edge_vec_nvals)) ;
+
+        
+        GRB_TRY (GrB_Vector_assign_INT64(
+            edges_per_deg, NULL, NULL, (int64_t) 0, GrB_ALL, 0, NULL)) ;
+        GRB_TRY (GrB_Vector_assign_INT64(
+            verts_per_deg, NULL, NULL, (int64_t) 0, GrB_ALL, 0, NULL)) ;
+        GRB_TRY (GrB_Vector_assign_INT64(
+            ones_v, NULL, NULL, (int64_t) 0, GrB_ALL, 0, NULL)) ;
+            
+        #if !defined(COVERAGE)
+        GRB_TRY (GrB_Vector_new(&ramp_v, GrB_INT64, edge_vec_nvals + 1)) ;  
+        GRB_TRY (GrB_Vector_assign_INT64(
+            ramp_v, NULL, NULL, (int64_t) 0, GrB_ALL, 0, NULL)) ;
+        GRB_TRY (GrB_apply (
+            ramp_v, NULL, NULL, GrB_ROWINDEX_INT64, ramp_v, 0, NULL)) ;
+        #endif
+
+        LG_TRY (LAGraph_FastAssign_Semiring (
+            edges_per_deg, NULL, GrB_PLUS_INT64, deg_x, node_edges_x, ramp_v,
+            GxB_PLUS_SECOND_INT64, NULL, msg
+        )) ;
+        LG_TRY (LAGraph_FastAssign_Semiring (
+            verts_per_deg, NULL, GrB_PLUS_INT64, deg_x, ones_v, ramp_v,
+            GxB_PLUS_PAIR_INT64, NULL, msg
+        )) ;
+
+        GRB_TRY (GxB_Vector_unload(
+            edges_per_deg, (void **) &epd_arr, &epd_type,
+            &epd_n, &epd_size, &epd_h, NULL)) ;
+        GRB_TRY (GxB_Vector_unload(
+            verts_per_deg, (void **) &vpd_arr, &vpd_type,
+            &vpd_n, &vpd_size, &vpd_h, NULL)) ;
+        
+        LG_ASSERT (max_deg == vpd_n && max_deg == epd_n, GrB_INVALID_VALUE) ;
+        //run a cummulative sum (backwards) on vpd_arr
+        for(GrB_Index i = max_deg - 1; i > 0; --i)
+        {
+            vpd_arr[i-1] += vpd_arr[i] ;
+            epd_arr[i-1] += epd_arr[i] ;
+        }
+        GRB_TRY(GxB_Vector_load(
+            edges_per_deg, (void **) &epd_arr, epd_type,
+            epd_n, epd_size, epd_h, NULL)) ;
+        GRB_TRY(GxB_Vector_load(
+            verts_per_deg, (void **) &vpd_arr, vpd_type,
+            vpd_n, vpd_size, vpd_h, NULL)) ;
+    #else
+        LG_TRY (LAGraph_Malloc(
+            &a_space, edge_vec_nvals * 3 + max_deg * 4, sizeof(int64_t), NULL
+        )) ;
+        int64_t *T = a_space;
+        deg_arr = T;            T += edge_vec_nvals;
+        node_edges_arr = T;     T += edge_vec_nvals;
+        ones = T;               T += edge_vec_nvals;
+        epd_arr = T;            T += max_deg;
+        vpd_arr = T;            T += max_deg;
+        epd_index = T;          T += max_deg;
+        vpd_index = T;          T += max_deg;
+
+        #pragma omp parallel for schedule(static)
+        for(uint64_t i = 0; i < edge_vec_nvals; ++i)
+        {
+            ones[i] = 1ll;
+        }
+        GRB_TRY (GrB_Vector_apply_BinaryOp2nd_INT64(
+            degrees, NULL, NULL, GrB_MINUS_INT64, G->out_degree, 1, NULL)) ;
+        //TODO: remove NULL for Vanilla GB
+        GRB_TRY (GrB_Vector_extractTuples_INT64(
+            NULL, deg_arr, &edge_vec_nvals, degrees
+        )) ;
+        GRB_TRY (GrB_Vector_extractTuples_INT64(
+            NULL, node_edges_arr, &edge_vec_nvals, node_edges
+        )) ;
+
+        // Build with degrees as indecies and handle duplicates via adition
+        GRB_TRY (GrB_Vector_build_INT64 (
+            edges_per_deg, deg_arr, node_edges_arr, edge_vec_nvals, 
+            GrB_PLUS_INT64)) ;
+        GRB_TRY (GrB_Vector_build_INT64 (
+            verts_per_deg, deg_arr, ones, edge_vec_nvals, GrB_PLUS_INT64)) ;
+        GRB_TRY (GrB_Vector_assign_INT64(
+            edges_per_deg, edges_per_deg, NULL, (int64_t) 0, 
+            GrB_ALL, 0, GrB_DESC_SC)) ;
+        GRB_TRY (GrB_Vector_assign_INT64(
+            verts_per_deg, verts_per_deg, NULL, (int64_t) 0, 
+            GrB_ALL, 0, GrB_DESC_SC)) ;
+        
+        // Extract into arrays
+        GRB_TRY (GrB_Vector_extractTuples_INT64(
+            epd_index, epd_arr, &max_deg, edges_per_deg
+        )) ;
+        GRB_TRY (GrB_Vector_extractTuples_INT64(
+            vpd_index, vpd_arr, &max_deg, verts_per_deg
+        )) ;
+        //run a cummulative sum (backwards) on vpd_arr
+        for(GrB_Index i = max_deg - 1; i > 0; --i)
+        {
+            vpd_arr[i-1] += vpd_arr[i] ;
+            epd_arr[i-1] += epd_arr[i] ;
+        }
+        GRB_TRY (GrB_Vector_clear(edges_per_deg)) ;
+        GRB_TRY (GrB_Vector_clear(verts_per_deg)) ;
+        GRB_TRY (GrB_Vector_build_INT64(
+            edges_per_deg, epd_index, epd_arr, max_deg, NULL
+        )) ;
+        GRB_TRY (GrB_Vector_build_INT64(
+            verts_per_deg, vpd_index, vpd_arr, max_deg, NULL
+        )) ;
+        T = deg_arr = node_edges_arr = ones = NULL ;
+        epd_index = vpd_index = epd_arr = vpd_arr = NULL ;
+    #endif
+
+    /**
+     * Cumulative sum (TODO: should be a GBLAS method!)
+     * 
+     * GrB_cumsum(GrB_Matrix C, const GrB_Matrix mask, const GrB_BinaryOp accum,
+     *      const GrB_BinaryOp plus, GrB_Matrix A, const GrB_Descriptor desc)
+     * 
+     * By default sums rows. Returns a nearly full matrix:
+     * [., ., 1, 1, 1, 1, ., ., 1] --> [., ., 1, 2, 3, 4, 4, 4, 5]
+     * Mask can be A, then returns a matrix with the same pattern.
+     * [., ., 1, 1, 1, 1, ., ., 1] --> [., ., 1, 2, 3, 4, ., ., 5]
+     * 
+     * Should we be able to sum in the opposite direction? 
+     *  Yes since not all monoids have inverse operations. 
+     * 
+     * If plus biop is not a monoid, this method should still work?
+     */
+    
+    //Computes the RCC of a matrix
+    GRB_TRY(GrB_eWiseMult(
+        *rccs, NULL, NULL, rcCalculation, 
+        edges_per_deg, verts_per_deg, NULL
+    )) ;
+
+    LG_FREE_WORK ;
+    return (GrB_SUCCESS) ;
+}
diff --git a/experimental/algorithm/LAGraph_SwapEdges.c b/experimental/algorithm/LAGraph_SwapEdges.c
new file mode 100644
index 0000000000..bc1703975f
--- /dev/null
+++ b/experimental/algorithm/LAGraph_SwapEdges.c
@@ -0,0 +1,823 @@
+//------------------------------------------------------------------------------
+// LAGraph_SwapEdges: randomly swaps edges in a graph
+//------------------------------------------------------------------------------
+
+// LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.
+// SPDX-License-Identifier: BSD-2-Clause
+//
+// For additional details (including references to third party source code and
+// other files) see the LICENSE file or contact permission@sei.cmu.edu. See
+// Contributors.txt for a full list of contributors. Created, in part, with
+// funding and support from the U.S. Government (see Acknowledgments.txt file).
+// DM22-0790
+
+// Contributed by Gabriel Gomez, Texas A&M University
+
+//------------------------------------------------------------------------------
+
+// References:
+
+// R. Milo, N. Kashtan, S. Itzkovitz, M. E. J. Newman, and U. Alon, “On the 
+// uniform generation of random graphs with prescribed degree sequences,” 2004.
+
+#define FREE_LOOP                               \
+{                                               \
+    GrB_free (&M) ;                             \
+    GrB_free(&dup_swaps_v);                     \
+    GrB_free(&new_hashed_edges);                \
+    GrB_free(&edge_perm) ;                      \
+}
+
+#define LG_FREE_WORK                            \
+{                                               \
+    /* free any workspace used here */          \
+    GrB_free (&A_tril) ;                        \
+    GrB_free (&Ai) ;                            \
+    GrB_free (&Aj) ;                            \
+    GrB_free (&random_v) ;                      \
+    GrB_free (&r_permute) ;                     \
+    GrB_free (&ramp_v) ;                        \
+    GrB_free (&E_temp) ;                        \
+    GrB_free (&r_60) ;                          \
+    GrB_free (&exists) ;                        \
+    GrB_free (&E_vec) ;                         \
+    GrB_free (&swap_pair) ;                     \
+    GrB_free (&hash_seed_e) ;                   \
+    GrB_free (&add_term_biop) ;                 \
+    GrB_free (&add_term_monoid) ;               \
+    GrB_free (&plus_term_one) ;                 \
+    GrB_free (&second_edge) ;                   \
+    GrB_free (&second_bool_edge) ;              \
+    GrB_free (&second_edge_monoid) ;            \
+    GrB_free (&second_second_edge) ;            \
+    GrB_free (&lg_shiftland) ;                  \
+    GrB_free (&lg_edge) ;                       \
+    GrB_free (&lg_swap) ;                       \
+    GrB_free (&hashed_edges) ;                  \
+    GrB_free (&con) ;                           \
+    GrB_free (&one8) ;                          \
+    GrB_free (&x) ;                             \
+    GrB_free (&temp_i) ;                        \
+    LAGraph_Free ((void ** )&indices, msg) ;    \
+    LAGraph_Free ((void **) &dup_swaps, NULL);  \
+    FREE_LOOP ;                                 \
+}
+
+#define LG_FREE_ALL                         \
+{                                           \
+    /* free any workspace used here */      \
+    LG_FREE_WORK ;                          \
+    /* free all the output variable(s) */   \
+    GrB_free(A_new) ;                       \
+    /* take any other corrective action */  \
+}
+
+#include "LG_internal.h"
+#include "LAGraphX.h"
+void shift_and 
+    (uint16_t *z, const uint16_t *x)
+    {
+        (*z) = (*x) & ((*x) << 8);
+        (*z) |= (*z) >> 8;
+    }
+#define SHIFT_AND                                                               \
+"void shift_and                                                              \n"\
+"   (uint16_t *z, const uint16_t *x)                                         \n"\
+"   {                                                                        \n"\
+"       (*z) = (*x) & ((*x) << 8);                                           \n"\
+"       (*z) |= (*z) >> 8;                                                   \n"\
+"   }"
+
+typedef struct {
+    uint64_t a; 
+    uint64_t b;
+} edge_type64;
+#define EDGE_TYPE64                                                             \
+"typedef struct { uint64_t a; uint64_t b; } edge_type64;"
+
+typedef struct {
+    uint64_t a; 
+    uint64_t b;
+    uint64_t c; 
+    uint64_t d;
+} swap_type64;
+#define SWAP_TYPE64                                                             \
+"typedef struct {                                                            \n"\
+"   uint64_t a; uint64_t b; uint64_t c; uint64_t d;                          \n"\
+"} swap_type64;"
+
+typedef struct {
+    uint32_t a; 
+    uint32_t b;
+} edge_type32;
+#define EDGE_TYPE32                                                             \
+"typedef struct { uint32_t a; uint32_t b; } edge_type32;"
+
+typedef struct {
+    uint32_t a; 
+    uint32_t b;
+    uint32_t c; 
+    uint32_t d;
+} swap_type32;
+#define SWAP_TYPE32                                                             \
+"typedef struct {                                                            \n"\
+"   uint32_t a; uint32_t b; uint32_t c; uint32_t d;                          \n"\
+"}swap_type32;"
+
+void swap_bc64
+(swap_type64 *z, const swap_type64 *x, GrB_Index I, GrB_Index J, const bool *y)
+{
+    memcpy(z, x, sizeof(*z)) ; //unnessesary when aliassed but done for safety.
+    if(z->a == z->c || z->b == z->c || z->a == z->d || z->b == z->d ) return;
+    if(I & 1)
+    {
+        uint64_t temp = z->d;
+        z->d = z->b;
+        z->b = temp; 
+    }
+    else
+    {
+        uint64_t temp = z->c;
+        z->c = z->b;
+        z->b = temp; 
+    }    
+}
+void swap_bc32
+(swap_type32 *z, const swap_type32 *x, GrB_Index I, GrB_Index J, const bool *y)
+{
+    memcpy(z, x, sizeof(*z)) ; //unnessesary when aliassed but done for safety.
+    if(z->a == z->c || z->b == z->c || z->a == z->d || z->b == z->d ) return;
+    if(I & 1)
+    {
+        uint32_t temp = z->d;
+        z->d = z->b;
+        z->b = temp; 
+    }
+    else
+    {
+        uint32_t temp = z->c;
+        z->c = z->b;
+        z->b = temp; 
+    }    
+}
+#define SWAP_BC64                                                                 \
+"void swap_bc64                                                                 \n"\
+"(swap_type64 *z, const swap_type64 *x, GrB_Index I, GrB_Index J, const bool *y)\n"\
+"{                                                                              \n"\
+"    memcpy(z, x, sizeof(*z)) ; //unnessesary when aliassed but done for safety.\n"\
+"    if(z->a == z->c || z->b == z->c || z->a == z->d || z->b == z->d ) return;  \n"\
+"   if(I & 1)                                                                   \n"\
+"    {                                                                          \n"\
+"        uint64_t temp = z->d;                                                  \n"\
+"        z->d = z->b;                                                           \n"\
+"        z->b = temp;                                                           \n"\
+"    }                                                                          \n"\
+"    else                                                                       \n"\
+"    {                                                                          \n"\
+"        uint64_t temp = z->c;                                                  \n"\
+"        z->c = z->b;                                                           \n"\
+"        z->b = temp;                                                           \n"\
+"    }                                                                          \n"\
+"}"
+#define SWAP_BC32                                                                 \
+"void swap_bc32                                                                 \n"\
+"(swap_type32 *z, const swap_type32 *x, GrB_Index I, GrB_Index J, const bool *y)\n"\
+"{                                                                              \n"\
+"    memcpy(z, x, sizeof(*z)) ; //unnessesary when aliassed but done for safety.\n"\
+"    if(z->a == z->c || z->b == z->c || z->a == z->d || z->b == z->d ) return;  \n"\
+"   if(I & 1)                                                                   \n"\
+"    {                                                                          \n"\
+"        uint32_t temp = z->d;                                                  \n"\
+"        z->d = z->b;                                                           \n"\
+"        z->b = temp;                                                           \n"\
+"    }                                                                          \n"\
+"    else                                                                       \n"\
+"    {                                                                          \n"\
+"        uint32_t temp = z->c;                                                  \n"\
+"        z->c = z->b;                                                           \n"\
+"        z->b = temp;                                                           \n"\
+"    }                                                                          \n"\
+"}"
+
+// using xorshift, from https://en.wikipedia.org/wiki/Xorshift
+// with a state of uint64_t, or xorshift64star.
+void hash_edge64
+(uint64_t *z, const edge_type64 *x, const uint64_t *mask)
+{
+    (*z) = x->a ^ x->b;
+	(*z) ^= (*z) << 13;
+	(*z) ^= (*z) >> 7;
+    (*z) ^= (x->a < x->b)? x->a: x->b;
+	(*z) ^= (*z) << 17;
+    (*z) &= (*mask);
+}
+void hash_edge32
+(uint64_t *z, const edge_type32 *x, const uint64_t *mask)
+{
+    (*z) = x->a ^ x->b;
+	(*z) ^= (*z) << 13;
+	(*z) ^= (*z) >> 7;
+    (*z) ^= (uint64_t)((x->a < x->b)? x->a: x->b);
+	(*z) ^= (*z) << 17;
+    (*z) &= (*mask);
+}
+#define HASH_EDGE64                                                              \
+"void hash_edge64                                                             \n"\
+"(uint64_t *z, const edge_type64 *x, const uint64_t *mask)                    \n"\
+"{                                                                            \n"\
+"   (*z) = x->a ^ x->b;                                                       \n"\
+"	(*z) ^= (*z) << 13;                                                       \n"\
+"	(*z) ^= (*z) >> 7;                                                        \n"\
+"   (*z) ^= (uint64_t)((x->a < x->b)? x->a: x->b);                            \n"\
+"	(*z) ^= (*z) << 17;                                                       \n"\
+"   (*z) &= (*mask);                                                          \n"\
+"}"
+#define HASH_EDGE32                                                              \
+"void hash_edge32                                                             \n"\
+"(uint64_t *z, const edge_type32 *x, const uint64_t *mask)                    \n"\
+"{                                                                            \n"\
+"   (*z) = x->a ^ x->b;                                                       \n"\
+"	(*z) ^= (*z) << 13;                                                       \n"\
+"	(*z) ^= (*z) >> 7;                                                        \n"\
+"   (*z) ^= (uint64_t)((x->a < x->b)? x->a: x->b);                            \n"\
+"	(*z) ^= (*z) << 17;                                                       \n"\
+"   (*z) &= (*mask);                                                          \n"\
+"}"
+
+void add_term
+    (int8_t *z, const int8_t *x, const int8_t *y)
+{
+    (*z) = (*x) | (*y) + ((int8_t)1 & (*x) & (*y)) ;
+}
+#define ADD_TERM                                                               \
+"void add_term                                                                \n"\
+"(int8_t *z, const int8_t *x, const int8_t *y)                                \n"\
+"{                                                                            \n"\
+"    (*z) = (*x) | (*y) + ((int8_t)1 & (*x) & (*y)) ;                         \n"\
+"}"
+
+void edge2nd64_bool
+    (edge_type64 *z, const bool *x, const edge_type64 *y)
+{
+    z->a = y->a;
+    z->b = y->b;
+}
+void edge2nd32_bool
+    (edge_type32 *z, const bool *x, const edge_type32 *y)
+{
+    z->a = y->a;
+    z->b = y->b;
+}
+void edge2nd64_edge
+    (edge_type64 *z, const edge_type64 *x, const edge_type64 *y)
+{
+    z->a = y->a;
+    z->b = y->b;
+}
+void edge2nd32_edge
+    (edge_type32 *z, const edge_type32 *x, const edge_type32 *y)
+{
+    z->a = y->a;
+    z->b = y->b;
+}
+#define EDGE2ND32_BOOL                                                          \
+"void edge2nd32_bool                                                          \n"\
+"(edge_type32 *z, const bool *x, const edge_type32 *y)                        \n"\
+"{                                                                            \n"\
+"    //if(y->a == 0 && y->b == 0) return;                                     \n"\
+"    z->a = y->a;                                                             \n"\
+"    z->b = y->b;                                                             \n"\
+"}"
+#define EDGE2ND64_BOOL                                                          \
+"void edge2nd64_bool                                                          \n"\
+"(edge_type64 *z, const bool *x, const edge_type64 *y)                        \n"\
+"{                                                                            \n"\
+"    //if(y->a == 0 && y->b == 0) return;                                     \n"\
+"    z->a = y->a;                                                             \n"\
+"    z->b = y->b;                                                             \n"\
+"}"
+#define EDGE2ND32_EDGE                                                          \
+"void edge2nd32_edge                                                          \n"\
+"(edge_type32 *z, const edge_type32 *x, const edge_type32 *y)                 \n"\
+"{                                                                            \n"\
+"    //if(y->a == 0 && y->b == 0) return;                                     \n"\
+"    z->a = y->a;                                                             \n"\
+"    z->b = y->b;                                                             \n"\
+"}"
+#define EDGE2ND64_EDGE                                                          \
+"void edge2nd64_edge                                                          \n"\
+"(edge_type64 *z, const edge_type64 *x, const edge_type64 *y)                 \n"\
+"{                                                                            \n"\
+"    //if(y->a == 0 && y->b == 0) return;                                     \n"\
+"    z->a = y->a;                                                             \n"\
+"    z->b = y->b;                                                             \n"\
+"}"
+
+int LAGraph_SwapEdges
+(
+    // output
+    GrB_Matrix *A_new, //The adjacency matrix of G with edges randomly swapped
+    // input: not modified
+    LAGraph_Graph G,
+    GrB_Index Q, // Swaps per edge
+    char *msg
+)
+{
+    #if USING_GRAPHBLAS_V10
+    //--------------------------------------------------------------------------
+    // Declorations
+    //--------------------------------------------------------------------------
+    GrB_Matrix A = NULL; // n x n Adjacency Matrix 
+    GrB_Vector Ai = NULL, Aj = NULL;
+    // e x 1 vector, each entry is an edge.
+    GrB_Vector E_vec = NULL, E_temp = NULL; 
+
+    // swaps x 4
+    // Each row contains 4 entries corresponding to the verticies 
+    // that are involved in the swap.
+    GrB_Vector M = NULL;
+    GxB_Container con = NULL; 
+
+    // n = |V| e = |E|
+    GrB_Index n = 0, e = 0;
+
+    // n x n 
+    // Lower triangle of adjacency matrix
+    GrB_Matrix A_tril = NULL ;
+
+    // e x 1 random vectors
+    GrB_Vector random_v = NULL, r_permute = NULL;
+
+    // indicies for A
+    void *indices = NULL;
+
+    GrB_Vector ramp_v = NULL;
+
+    // edge permutation
+    GrB_Vector edge_perm = NULL;
+    bool iso = false;
+
+    // Number of values kept in each phase
+    GrB_Index n_keep = 0, M_nvals = 0, dup_arr_size = 0;
+
+    // swaps x 2 matrix which holds the hashes of each planned edge. 
+    GrB_Vector new_hashed_edges = NULL;
+
+    // e holds hashes of old edges
+    GrB_Vector hashed_edges = NULL;
+
+    // 2^60 holds the buckets in which hashes collided.
+    GrB_Vector exists = NULL; 
+    
+    GrB_UnaryOp lg_shiftland = NULL;
+
+    //  b1 <---> a2 or b1 <---> b2
+    GrB_IndexUnaryOp swap_pair = NULL;
+    
+    // z = h_y(x)
+    GrB_BinaryOp hash_seed_e = NULL;
+
+    // This monoid has only been designed for inputs in {0,1,2}, other behavior 
+    // is undefined.
+    // (0,x) -> x, (1,1) -> 2, (2,x) -> 2 (and commutative)
+    // Aka z = min(2, x + y)
+    GrB_BinaryOp add_term_biop = NULL;
+    GrB_Monoid add_term_monoid = NULL;
+    GrB_Semiring plus_term_one = NULL;
+
+    // z = y
+    GrB_BinaryOp second_edge = NULL;
+    GrB_BinaryOp second_bool_edge = NULL;
+    GrB_Monoid second_edge_monoid = NULL;
+    GrB_Semiring second_second_edge = NULL;
+
+    // Toople types
+    GrB_Type lg_edge = NULL, lg_swap = NULL;
+    // Unload types
+    GrB_Type M_type = NULL, E_type = NULL, Ai_type = NULL, Aj_type = NULL;
+    int M_hand = 0, E_hand = 0;
+
+    int16_t *dup_swaps = NULL;
+    GrB_Vector dup_swaps_v = NULL;
+    // BOOL swaps * 2 vector that holds false if an edge in the swap did not "work"
+
+    GrB_Vector sort_h = NULL;
+    GrB_Vector r_60 = NULL;
+    // Only Used for coverage typecasting
+    GrB_Vector temp_i = NULL;
+    // count swaps 
+    GrB_Index num_swaps = 0, num_attempts = 0, swaps_per_loop = 0 ;
+
+    // Constants ---------------------------------------------------------------
+    GrB_Vector x = NULL;
+
+    GrB_Scalar one8 = NULL;
+
+    GrB_Index ind_size = 0;
+    
+    //--------------------------------------------------------------------------
+    // Check inputs TODO
+    //--------------------------------------------------------------------------
+    LG_ASSERT_MSG (
+        G->kind == LAGraph_ADJACENCY_UNDIRECTED,
+        LAGRAPH_INVALID_GRAPH, 
+        "G must be undirected"
+    ) ;
+    // char type[LAGRAPH_MAX_NAME_LEN];
+    LG_ASSERT_MSG (G->nself_edges == 0, LAGRAPH_NO_SELF_EDGES_ALLOWED, 
+        "G->nself_edges must be zero") ;
+    LG_ASSERT (A_new != NULL, GrB_NULL_POINTER) ;
+    // GRB_TRY (GxB_Matrix_type(&E_type, A)) ;
+    // LG_ASSERT_MSG (E_type == GrB_BOOL || , LAGRAPH_INVALID_GRAPH, 
+    //     "A must be structural") ;
+
+    //--------------------------------------------------------------------------
+    // Initializations
+    //--------------------------------------------------------------------------
+    A = G->A ;  
+
+    //--------------------------------------------------------------------------
+    // Extract edges from A
+    //--------------------------------------------------------------------------
+
+    GRB_TRY (GrB_Matrix_nrows (&n, A)) ;
+    GRB_TRY (GrB_Matrix_new (&A_tril, GrB_BOOL, n, n)) ;
+    GRB_TRY (GrB_Vector_new(&Ai, GrB_BOOL, 0)) ;
+    GRB_TRY (GrB_Vector_new(&Aj, GrB_BOOL, 0)) ;
+    
+    // Extract lower triangular edges
+    GRB_TRY (GrB_select (A_tril, NULL, NULL, GrB_TRIL, A, 0, NULL)) ;
+    GRB_TRY (GrB_Matrix_nvals(&e, A_tril)) ;
+    swaps_per_loop = e / 3;
+    GRB_TRY (GxB_Matrix_extractTuples_Vector(Ai, Aj, NULL, A_tril, NULL)) ;
+    #ifdef COVERAGE
+    if(n > 100)
+    {
+    //     // Make Ai and Aj 64 bit
+        GRB_TRY (GrB_Vector_new(&temp_i, GrB_INT64, e)) ;
+        GRB_TRY (GrB_assign(temp_i, NULL, NULL, Ai, GrB_ALL, 0, NULL)) ;
+        GRB_TRY (GrB_free(&Ai)) ;
+        Ai = temp_i;
+        temp_i = NULL;
+        GRB_TRY (GrB_Vector_new(&temp_i, GrB_INT64, e)) ;
+        GRB_TRY (GrB_assign(temp_i, NULL, NULL, Aj, GrB_ALL, 0, NULL)) ;
+        GRB_TRY (GrB_free(&Aj)) ;
+        Aj = temp_i;
+        temp_i = NULL;
+    }
+    #endif
+    int codei = 0, codej = 0;
+    GRB_TRY (GxB_Vector_type(&Ai_type, Ai)) ;
+    GrB_get(Ai, &codei, GrB_EL_TYPE_CODE);
+    GrB_get(Aj, &codej, GrB_EL_TYPE_CODE);
+
+    LG_ASSERT_MSG (
+        codei == codej, GrB_INVALID_VALUE,
+        "extractTuples_Vector returned different types for Ai and Aj"
+    ) ;
+    //--------------------------------------------------------------------------
+    // Initialize all operators and types
+    //--------------------------------------------------------------------------
+    if(codei == GrB_UINT32_CODE) // Use uint32 if possible 
+    {
+        GRB_TRY (GxB_Type_new(
+            &lg_edge, sizeof(edge_type32), "edge_type32", EDGE_TYPE32)) ;
+        GRB_TRY (GxB_Type_new(
+            &lg_swap, sizeof(swap_type32), "swap_type32", SWAP_TYPE32)) ;
+        GRB_TRY(GxB_BinaryOp_new(
+            &hash_seed_e, (GxB_binary_function) (&hash_edge32),
+            GrB_UINT64, lg_edge, GrB_UINT64, "hash_edge32", HASH_EDGE32
+        )) ;
+        GRB_TRY (GxB_IndexUnaryOp_new (
+            &swap_pair, (GxB_index_unary_function) (&swap_bc32),
+            lg_swap, lg_swap, GrB_BOOL, "swap_bc32", SWAP_BC32
+        )) ;
+        GRB_TRY(GxB_BinaryOp_new(
+            &second_edge, (GxB_binary_function) (&edge2nd32_edge), 
+            lg_edge, lg_edge, lg_edge, "edge2nd32_edge", EDGE2ND32_EDGE
+        )) ;
+        GRB_TRY(GxB_BinaryOp_new(
+            &second_bool_edge, (GxB_binary_function) (&edge2nd32_bool), 
+            lg_edge, GrB_BOOL, lg_edge, "edge2nd32_bool", EDGE2ND32_BOOL
+        )) ;
+    }
+    else //uint64 types
+    {
+        GRB_TRY (GxB_Type_new(
+            &lg_edge, sizeof(edge_type64), "edge_type64", EDGE_TYPE64)) ;
+        GRB_TRY (GxB_Type_new(
+            &lg_swap, sizeof(swap_type64), "swap_type64", SWAP_TYPE64)) ;
+        GRB_TRY(GxB_BinaryOp_new(
+            &hash_seed_e, (GxB_binary_function) (&hash_edge64),
+            GrB_UINT64, lg_edge, GrB_UINT64, "hash_edge64", HASH_EDGE64
+        )) ;
+        GRB_TRY (GxB_IndexUnaryOp_new (
+            &swap_pair, (GxB_index_unary_function) (&swap_bc64),
+            lg_swap, lg_swap, GrB_BOOL, "swap_bc64", SWAP_BC64
+        )) ;
+        GRB_TRY(GxB_BinaryOp_new(
+            &second_edge, (GxB_binary_function) (&edge2nd64_edge), 
+            lg_edge, lg_edge, lg_edge, "edge2nd64_edge", EDGE2ND64_EDGE
+        )) ;
+        GRB_TRY(GxB_BinaryOp_new(
+            &second_bool_edge, (GxB_binary_function) (&edge2nd64_bool), 
+            lg_edge, GrB_BOOL, lg_edge, "edge2nd64_bool", EDGE2ND64_BOOL
+        )) ;
+    }
+    
+    GRB_TRY (GxB_UnaryOp_new (
+        &lg_shiftland, (GxB_unary_function) (&shift_and),
+        GrB_UINT16, GrB_UINT16, "shift_and", SHIFT_AND
+    )) ;
+    GRB_TRY(GxB_BinaryOp_new(
+        &add_term_biop, (GxB_binary_function) (&add_term), 
+        GrB_INT8, GrB_INT8, GrB_INT8, "add_term", ADD_TERM
+    )) ;
+
+    GRB_TRY (GxB_Monoid_terminal_new_INT8(
+        &add_term_monoid, add_term_biop, (int8_t) 0, (int8_t) 2
+    )) ;
+
+    edge_type64 iden_second = {0,0};
+    GRB_TRY (GrB_Monoid_new_UDT(
+        &second_edge_monoid, second_edge, (void *) &iden_second
+    )) ;
+
+    GRB_TRY(GrB_Semiring_new(
+        &plus_term_one, add_term_monoid, GrB_ONEB_INT8
+    )) ;
+    GRB_TRY(GrB_Semiring_new(
+        &second_second_edge, second_edge_monoid, second_bool_edge
+    )) ;
+
+    //--------------------------------------------------------------------------
+    // Make E Vector
+    //--------------------------------------------------------------------------
+
+    GRB_TRY (GrB_Vector_new(&E_vec, Ai_type, 2 * e)) ;
+    
+    // Filling out E_vec helps assign be much quicker.
+    GRB_TRY (GrB_assign(
+        E_vec, NULL, NULL, 0, GrB_ALL, 0, NULL));
+    GrB_Index stride[] = {(GrB_Index) 0, e * 2 - 1, (GrB_Index) 2} ;
+
+    // Shuffle i and j into E_vec.
+    GRB_TRY (GrB_Vector_assign(
+        E_vec, NULL, NULL, Aj, stride, GxB_STRIDE, NULL)) ;
+    stride[GxB_BEGIN] = 1;
+    GRB_TRY (GrB_Vector_assign(
+        E_vec, NULL, NULL, Ai, stride, GxB_STRIDE, NULL)) ;
+
+    // Reinterpret E_vec as a vector of tuples.
+    GRB_TRY (GxB_Vector_unload(
+        E_vec, &indices, &E_type, &e, &ind_size, &E_hand, NULL));
+    e /= 2;
+    GRB_TRY (GxB_Vector_load(
+        E_vec, &indices, lg_edge, e, ind_size, E_hand, NULL));
+    
+    // Find Hash Size 
+    int shift_e ;
+    #if (!( defined ( __NVCC__) || defined ( __INTEL_CLANG_COMPILER) || \
+        defined ( __INTEL_COMPILER) ) && defined ( _MSC_VER ))
+    // using the built-in Microsoft Windows compiler
+    // use ceil, log2, etc
+    shift_e = 63 - (int) floor (log2 ((double) e)) ;
+    #else
+    shift_e = __builtin_clzl(e);
+    #endif
+    uint64_t ehash_size = (1ull << (67-shift_e)) ;
+    printf("Hash Size: %ld\n", ehash_size);
+
+    //--------------------------------------------------------------------------
+    // Initialize the rest of the vectors
+    //--------------------------------------------------------------------------
+
+    // Hash values and buckets
+    GRB_TRY (GrB_Vector_new(&exists, GrB_INT8, ehash_size)) ;
+    GRB_TRY (GrB_Vector_new(&hashed_edges, GrB_UINT64, e)) ;
+    GRB_TRY(GrB_set (exists, GxB_BITMAP | GxB_FULL, GxB_SPARSITY_CONTROL)) ;
+
+    // Ramp 
+    GRB_TRY (GrB_Vector_new(&ramp_v, GrB_UINT64, e + 1)) ;
+    GRB_TRY (GrB_Vector_assign_UINT64 (ramp_v, NULL, NULL, 0, GrB_ALL, 0, NULL)) ;
+    GRB_TRY (GrB_Vector_apply_IndexOp_UINT64 (ramp_v, NULL, NULL,
+        GrB_ROWINDEX_INT64, ramp_v, 0, NULL)) ;
+    GrB_Index ramp_size;
+
+    // Constants
+    GRB_TRY (GrB_Scalar_new (&one8, GrB_UINT8)) ;
+    GRB_TRY (GrB_Scalar_setElement_UINT8 (one8, 1)) ;
+    GRB_TRY (GrB_Vector_new (&x, GrB_BOOL, e)) ;
+
+    // Random Vector
+    GRB_TRY (GrB_Vector_new(&random_v, GrB_UINT64, e)) ;
+    GRB_TRY (GrB_Vector_new(&r_60, GrB_UINT64, e)) ;
+    GRB_TRY (GrB_Vector_new(&r_permute, GrB_UINT64, 1ull << (64-shift_e))) ;
+    GRB_TRY(GrB_set (r_permute, GxB_BITMAP, GxB_SPARSITY_CONTROL)) ;
+    GRB_TRY (GrB_Vector_assign_UINT64 (
+        random_v, NULL, NULL, 0, GrB_ALL, e, NULL)) ;
+    //TODO: Change seed
+    LG_TRY(
+        LAGraph_Random_Seed(random_v, 1548945616ul, msg)) ;
+    
+    printf("Entering loop, Good Luck:\n") ;
+    while(num_swaps < e * Q && num_attempts < e * Q * 5)
+    {
+        GrB_Index perm_size, arr_size, junk_size;
+        // r_60 has the random vector shifted by some amount.
+        GRB_TRY (GrB_Vector_apply_BinaryOp2nd_UINT64(
+            r_60, NULL, NULL, GxB_BSHIFT_UINT64, random_v, -(shift_e), NULL
+        )) ;
+        GRB_TRY (GrB_Vector_clear(x)) ;
+        GRB_TRY (GrB_Vector_resize(x, e)) ;
+        GRB_TRY (GrB_Vector_assign_BOOL(
+            x, NULL, NULL, true, GrB_ALL, 0, NULL)) ;
+        LG_TRY (LAGraph_FastAssign_Semiring(
+            r_permute, NULL, NULL, r_60, x, ramp_v, GxB_ANY_FIRSTJ_INT64,
+            NULL, msg)) ;
+        
+        GrB_Index edges_permed = 0;
+        GRB_TRY (GrB_Vector_nvals(&edges_permed, r_permute)) ;
+        GRB_TRY (GrB_Vector_new(&edge_perm, GrB_BOOL, edges_permed)) ;
+        GRB_TRY (GrB_Vector_extractTuples(NULL, edge_perm, r_permute, NULL)) ; 
+        swaps_per_loop = LAGRAPH_MIN(swaps_per_loop, edges_permed / 2) ;
+
+        // Chose only the edges we need from  edge_perm
+        GRB_TRY (GrB_Vector_resize(edge_perm, swaps_per_loop * 2)) ;
+        
+        // Get the desired edges from the E_vec array.
+        GRB_TRY (GrB_Vector_new(&M, lg_edge, swaps_per_loop * 2)) ;
+        GRB_TRY (GxB_Vector_extract_Vector(
+            M, NULL, NULL, E_vec, edge_perm, NULL
+        )) ; 
+
+        // Make the swaps via the swap_pair unary op.
+        GRB_TRY (GxB_Vector_unload(
+            M, (void **) &indices, &M_type, &M_nvals, &ind_size, &M_hand,
+            NULL
+        )) ;
+        GRB_TRY (GxB_Vector_load(
+            M, (void **) &indices, lg_swap, M_nvals / 2, ind_size, M_hand, NULL
+        )) ;
+        GRB_TRY (GrB_Vector_apply_IndexOp_BOOL(
+            M, NULL, NULL, swap_pair, M, false, NULL)) ;
+        GRB_TRY (GxB_Vector_unload(
+            M, (void **) &indices, &M_type, &M_nvals, &ind_size, &M_hand,
+            NULL
+        )) ;
+        GRB_TRY (GxB_Vector_load(
+            M, (void **) &indices, lg_edge, M_nvals * 2, ind_size, M_hand, 
+            NULL
+        )) ;
+
+        // Hash Edges ----------------------------------------------------------
+        GRB_TRY (GrB_Vector_new(
+            &new_hashed_edges, GrB_UINT64, swaps_per_loop * 2)) ;
+
+        GRB_TRY (GrB_Vector_apply_BinaryOp2nd_UINT64(
+            new_hashed_edges, NULL, NULL, hash_seed_e, M, 
+            ehash_size - 1ll, NULL
+        )) ;
+        GRB_TRY (GrB_Vector_apply_BinaryOp2nd_UINT64(
+            hashed_edges, NULL, NULL, hash_seed_e, E_vec, 
+            ehash_size - 1ll, NULL
+        )) ;
+
+        //----------------------------------------------------------------------
+        // Build Hash Buckets
+        //----------------------------------------------------------------------
+
+        GRB_TRY (GrB_Vector_new(&dup_swaps_v, GrB_INT8, swaps_per_loop * 2)) ;
+        GRB_TRY (GrB_set(dup_swaps_v, GxB_BITMAP, GxB_SPARSITY_CONTROL)) ;
+        
+        GRB_TRY (GrB_Vector_clear(x)) ;
+        GRB_TRY (GrB_Vector_resize(x, e)) ;
+        GRB_TRY (GrB_Vector_assign_BOOL(
+            x, NULL, NULL, true, GrB_ALL, 0, NULL)) ;
+        // place a one in any bucket that coresponds to an edge currently in E
+        LG_TRY (LAGraph_FastAssign_Semiring(
+            exists, NULL, NULL, hashed_edges, x, ramp_v, GxB_ANY_PAIR_UINT8,
+            NULL, msg
+        )) ;
+        
+        GRB_TRY (GrB_Vector_clear(x)) ;
+        GRB_TRY (GrB_Vector_resize(x, swaps_per_loop * 2)) ;
+        GRB_TRY (GrB_Vector_assign_BOOL(
+            x, NULL, NULL, true, GrB_ALL, 0, NULL)) ;
+
+        // exists cannot possibly be full at this point.
+        // Fill out exists in O(1) time.
+        GRB_TRY (GxB_Container_new(&con)) ;
+        GRB_TRY (GxB_unload_Vector_into_Container(exists, con, NULL)) ;
+        // Sanity check
+        LG_ASSERT (con->format == GxB_BITMAP, GrB_INVALID_VALUE) ;
+        GrB_free(&exists);
+        exists = con->b;
+        con->b = NULL;
+        GRB_TRY (GrB_free(&con)) ;
+        // exist has to be full at this point - confirmed by fprint
+        // GxB_print(exists, GxB_SUMMARY);
+
+        // "Count" all of the edges that fit into each bucket. Stop counting at 
+        // 2 since we will have to throw that whole bucket away anyway.
+        LG_TRY (LAGraph_FastAssign_Semiring(
+            exists, NULL, add_term_biop, new_hashed_edges, x, ramp_v, 
+            plus_term_one, NULL, msg
+        )) ;
+        GRB_TRY(GrB_set (exists, GxB_BITMAP | GxB_FULL, GxB_SPARSITY_CONTROL)) ;
+        // Select buckets with only one corresponding value
+        GRB_TRY (GrB_Vector_select_INT8(
+            exists, NULL, NULL, GrB_VALUEEQ_UINT8, exists, (int8_t) 1,
+            NULL
+        )) ;
+
+        // Find each hashed edge's bucket, dup_swaps_v is 1 if exists[edge] = 1
+        LG_TRY (LAGraph_FastAssign_Semiring(
+            dup_swaps_v, NULL, NULL, new_hashed_edges, exists, ramp_v, 
+            GxB_ANY_PAIR_INT8, GrB_DESC_T0, msg
+        )) ;
+        // GRB_TRY (GxB_Vector_extract_Vector(
+        //     dup_swaps_v, NULL, NULL, exists, new_hashed_edges, NULL)) ;
+
+        // Fill out dup_swaps_v in O(1) time.
+        GRB_TRY (GxB_Container_new(&con)) ;
+        GRB_TRY (GxB_unload_Vector_into_Container(dup_swaps_v, con, NULL)) ;
+        n_keep = con->nvals;
+        GRB_TRY (GrB_free(&dup_swaps_v));
+        dup_swaps_v = con->b;
+        con->b = NULL;
+        GRB_TRY (GrB_free(&con)) ;
+        GRB_TRY (GxB_Vector_unload(
+            dup_swaps_v, (void **) &dup_swaps, &M_type, &M_nvals, &dup_arr_size, 
+            &M_hand, NULL)) ;
+        GRB_TRY (GxB_Vector_load(
+            dup_swaps_v, (void **) &dup_swaps, GrB_INT16, M_nvals / 2, 
+            dup_arr_size, M_hand, NULL)) ;
+        GRB_TRY (GrB_apply(
+            dup_swaps_v, NULL, NULL, lg_shiftland, dup_swaps_v, NULL)) ;
+        GRB_TRY (GxB_Vector_unload(
+            dup_swaps_v, (void **) &dup_swaps, &M_type, &M_nvals, &dup_arr_size, 
+            &M_hand, NULL)) ;
+        GRB_TRY (GxB_Vector_load(
+            dup_swaps_v, (void **) &dup_swaps, GrB_INT8, M_nvals * 2, 
+            dup_arr_size, M_hand, NULL)) ;
+        
+        GRB_TRY (GrB_Vector_clear(exists)) ;
+        // ---------------------------------------------------------------------
+        // Place Good Swaps back into E_vec
+        // ---------------------------------------------------------------------
+
+        GRB_TRY (GxB_Container_new(&con)) ;
+        GRB_TRY (GxB_unload_Vector_into_Container(M, con, NULL)) ;
+        GRB_TRY (GrB_free(&(con->b))) ;
+        con->b = dup_swaps_v;
+        con->nvals = n_keep;
+        con->format = GxB_BITMAP;
+        dup_swaps_v = NULL;
+        GRB_TRY (GxB_load_Vector_from_Container(M, con, NULL)) ;
+        GRB_TRY (GrB_free(&con)) ;
+        GRB_TRY (LAGraph_FastAssign_Semiring(
+            E_vec, NULL, second_edge, edge_perm, M, ramp_v, 
+            second_second_edge, NULL, msg)) ;
+        
+
+        n_keep /= 2;
+
+        FREE_LOOP ; // Free Matricies that have to be rebuilt
+
+        // Adjust number of swaps to do next.
+        num_attempts += swaps_per_loop ;
+        num_swaps += n_keep ;
+        swaps_per_loop = n_keep * 3 ;
+        swaps_per_loop = LAGRAPH_MAX(swaps_per_loop, 16) ;
+        swaps_per_loop = LAGRAPH_MIN(swaps_per_loop, e / 3) ;
+
+        LG_TRY (LAGraph_Random_Next(random_v, msg)) ;
+        printf("#####Made %ld swaps. Total %ld out of %ld."\
+             "Attempting %ld swaps next.#####\n\n", 
+             n_keep, num_swaps, e * Q, swaps_per_loop) ;
+    // return (GrB_NOT_IMPLEMENTED) ;
+    }
+    GRB_TRY (GxB_Vector_unload(
+        E_vec, (void **) &indices, &lg_edge, &e, &ind_size, &E_hand, NULL));
+    GRB_TRY (GxB_Vector_load(
+        E_vec, (void **) &indices, E_type, e * 2, ind_size, E_hand, NULL));
+    GRB_TRY (GrB_Vector_extract(
+        Aj, NULL, NULL, E_vec, stride, GxB_STRIDE, NULL));
+    stride[GxB_BEGIN] = 0;
+    GRB_TRY (GrB_Vector_extract(
+        Ai, NULL, NULL, E_vec, stride, GxB_STRIDE, NULL));
+    // Build Output Matrix
+    GRB_TRY(GrB_Matrix_new(A_new, GrB_BOOL, n, n)) ;
+    GRB_TRY (GxB_Matrix_build_Scalar_Vector(*A_new, Ai, Aj, one8, NULL)) ;
+    GRB_TRY (GrB_eWiseAdd(
+        *A_new, NULL, NULL, GrB_LOR_MONOID_BOOL, *A_new,*A_new, GrB_DESC_T0
+    )) ;
+
+    LG_FREE_WORK ;
+    return (GrB_SUCCESS) ;
+    #else
+    printf("LAGraph_SwapEdges Needs GB v10\n") ;
+    return (GrB_NOT_IMPLEMENTED) ;
+    #endif
+}
diff --git a/experimental/algorithm/LG_CC_FastSV7_FA.c b/experimental/algorithm/LG_CC_FastSV7_FA.c
new file mode 100644
index 0000000000..bfffd1c3ad
--- /dev/null
+++ b/experimental/algorithm/LG_CC_FastSV7_FA.c
@@ -0,0 +1,874 @@
+//------------------------------------------------------------------------------
+// LG_CC_FastSV7: connected components
+//------------------------------------------------------------------------------
+
+// LAGraph, (c) 2019-2025 by The LAGraph Contributors, All Rights Reserved.
+// SPDX-License-Identifier: BSD-2-Clause
+//
+// For additional details (including references to third party source code and
+// other files) see the LICENSE file or contact permission@sei.cmu.edu. See
+// Contributors.txt for a full list of contributors. Created, in part, with
+// funding and support from the U.S. Government (see Acknowledgments.txt file).
+// DM22-0790
+
+// Contributed by Yongzhe Zhang, modified by Timothy A. Davis, Texas A&M
+// University
+
+//------------------------------------------------------------------------------
+
+// This is an Advanced algorithm (G->is_symmetric_structure must be known),
+// but it is not user-callable (see LAGr_ConnectedComponents instead).
+
+// Code is based on the algorithm described in the following paper:
+// Zhang, Azad, Hu. FastSV: A Distributed-Memory Connected Component
+// Algorithm with Fast Convergence (SIAM PP20)
+
+// A subsequent update to the algorithm is here (which might not be reflected
+// in this code):
+// Yongzhe Zhang, Ariful Azad, Aydin Buluc: Parallel algorithms for finding
+// connected components using linear algebra. J. Parallel Distributed Comput.
+// 144: 14-27 (2020).
+
+// Modified by Tim Davis, Texas A&M University: revised Reduce_assign to use
+// purely GrB* and GxB* methods and the matrix Parent.  Added warmup phase.
+// Changed to use GxB load/unload.  Converted to use the LAGraph_Graph object.
+// Exploiting iso status for the temporary matrices Parent and T.
+
+// Modified by Gabriel Gomez, Texas A&M University: moved Parent matrix trick 
+// out to LAGraph_FastAssign.
+
+// The input graph G must be undirected, or directed and with an adjacency
+// matrix that has a symmetric structure.  Self-edges (diagonal entries) are
+// OK, and are ignored.  The values and type of A are ignored; just its
+// structure is accessed.
+
+// NOTE: This function must not be called by multiple user threads at the same
+// time on the same graph G, since it unloads G->A and loads it back when
+// done.  G->A is unchanged when the function returns, but during execution
+// G->A is empty.  This will be fixed once the todos are finished below, and
+// G->A will then become a truly read-only object (assuming GrB_wait (G->A)
+// has been done first).
+
+// #define TIMINGS
+
+#define __STDC_WANT_LIB_EXT1__ 1
+#include <string.h>
+
+#define LG_FREE_ALL ;
+#include "LG_internal.h"
+#include "LAGraphX.h"
+
+double timings [16] ;
+
+#if USING_GRAPHBLAS_V10
+
+//==============================================================================
+// fastsv: find the components of a graph
+//==============================================================================
+
+static inline GrB_Info fastsv
+(
+    GrB_Matrix A,           // adjacency matrix, G->A or a subset of G->A
+    GrB_Vector parent2,     // workspace
+    GrB_Vector mngp,        // min neighbor grandparent
+    GrB_Vector *gp,         // grandparent
+    GrB_Vector *gp_new,     // new grandparent (swapped with gp)
+    GrB_Vector t,           // workspace
+    GrB_BinaryOp eq,        // GrB_EQ_(integer type)
+    GrB_BinaryOp min,       // GrB_MIN_(integer type)
+    GrB_Semiring min_2nd,   // GrB_MIN_SECOND_(integer type)
+    GrB_Vector parent,      // parent
+    GrB_Vector ramp,        // [0:n] used to speed up FastAssign
+    char *msg
+)
+{
+    bool done = false ;
+//  #ifdef TIMINGS
+//  int pass = 0 ;
+//  #endif
+
+    while (true)
+    {
+//      #ifdef TIMINGS
+//      printf ("\n-------------------------------------------fastsv: %d\n",
+//          ++pass) ;
+//      #endif
+
+        //----------------------------------------------------------------------
+        // hooking & shortcutting
+        //----------------------------------------------------------------------
+
+        // mngp = min (mngp, A*gp) using the MIN_SECOND semiring
+        GRB_TRY (GrB_mxv (mngp, NULL, min, min_2nd, A, *gp, NULL)) ;
+
+        //----------------------------------------------------------------------
+        // parent2 = min (mngp, gp)
+        //----------------------------------------------------------------------
+
+        // The parent vector should not be allised into FastAssign, so the 
+        // accumulation is done in a workspace vector, parent2.
+
+        GRB_TRY (GrB_eWiseAdd (parent2, NULL, NULL, min, mngp, *gp, NULL)) ;
+
+        // LAGraph_FastAssign: This function computes the following, which
+        // is done explicitly in the Reduce_assign function in LG_CC_Boruvka:
+        //
+        //      for (j = 0 ; j < n ; j++)
+        //      {
+        //          uint64_t i = parent [j] ;
+        //          parent2 [i] = min (parent2 [i], mngp [j]) ;
+        //      }
+        //
+        // LAGraph_FastAssign does this by building a matrix. 
+        // (See LAGraph_FastAssign.c) 
+        // Giving it a full ramp vector speeds up the function
+
+        LG_TRY (LAGraph_FastAssign_Semiring(
+            parent2, NULL, min, parent, mngp, ramp, min_2nd, NULL, msg));
+
+        //----------------------------------------------------------------------
+        // parent = min (parent, parent2)
+        //----------------------------------------------------------------------
+
+        GRB_TRY (GrB_assign (parent, NULL, min, parent2, GrB_ALL, 0, NULL)) ;
+
+        //----------------------------------------------------------------------
+        // calculate grandparent: gp_new = parent (parent)
+        //----------------------------------------------------------------------
+
+        GRB_TRY (GrB_extract (*gp_new, NULL, NULL, parent, parent, NULL)) ;
+
+        //----------------------------------------------------------------------
+        // terminate if gp and gp_new are the same
+        //----------------------------------------------------------------------
+        GRB_TRY (GrB_eWiseMult (t, NULL, NULL, eq, *gp_new, *gp, NULL)) ;
+        GRB_TRY (GrB_reduce (&done, NULL, GrB_LAND_MONOID_BOOL, t, NULL)) ;
+        if (done) break ;
+
+        // swap gp and gp_new
+        GrB_Vector s = (*gp) ; (*gp) = (*gp_new) ; (*gp_new) = s ;
+    }
+    return (GrB_SUCCESS) ;
+}
+
+//==============================================================================
+// LG_CC_FastSV7
+//==============================================================================
+
+// The output of LG_CC_FastSV* is a vector component, where component(i)=r if
+// node i is in the connected compononent whose representative is node r.  If r
+// is a representative, then component(r)=r.  The number of connected
+// components in the graph G is the number of representatives.
+
+#undef  LG_FREE_WORK
+#define LG_FREE_WORK                            \
+{                                               \
+    LAGraph_Free ((void **) &Tp, NULL) ;        \
+    LAGraph_Free ((void **) &Tj, NULL) ;        \
+    LAGraph_Free ((void **) &Tx, NULL) ;        \
+    LAGraph_Free ((void **) &ht_key, NULL) ;    \
+    LAGraph_Free ((void **) &ht_count, NULL) ;  \
+    LAGraph_Free ((void **) &count, NULL) ;     \
+    LAGraph_Free ((void **) &range, NULL) ;     \
+    LAGraph_Free ((void **) &Px, NULL) ;        \
+    GrB_free (&T) ;                             \
+    GrB_free (&t) ;                             \
+    GrB_free (&gp) ;                            \
+    GrB_free (&mngp) ;                          \
+    GrB_free (&gp_new) ;                        \
+    GrB_free (&parent2) ;                       \
+    GrB_free (&ramp_v) ;                        \
+    GrB_free (&A_Container) ;                   \
+    GrB_free (&T_Container) ;                   \
+}
+
+#undef  LG_FREE_ALL
+#define LG_FREE_ALL                             \
+{                                               \
+    GrB_free (&parent) ;                        \
+    LG_FREE_WORK ;                              \
+}
+
+#endif
+
+// get/set macros for 32/64 bit arrays:
+#define AP(k) (Ap32 ? Ap32 [k] : Ap64 [k])
+#define AJ(k) (Aj32 ? Aj32 [k] : Aj64 [k])
+#define PARENT(i) (Px32 ? Px32 [i] : Px64 [i])
+#define TP(k) (Tp32 ? Tp32 [k] : Tp64 [k])
+#define TJ(k) (Tj32 ? Tj32 [k] : Tj64 [k])
+#define SET_TP(k,p) { if (Tp32) { Tp32 [k] = p ; } else { Tp64 [k] = p ; }}
+#define SET_TJ(k,i) { if (Tj32) { Tj32 [k] = i ; } else { Tj64 [k] = i ; }}
+
+#ifdef TIMINGS
+static void print_timings (double timings [16])
+{
+    double total = timings [0] + timings [1] + timings [2] ;
+    printf ("SV7 %12.6f (%4.1f%%) init\n", timings [0], 100. * timings [0] / total) ;
+    printf ("SV7 %12.6f (%4.1f%%) total sampling:\n", timings [1], 100. * timings [1] / total) ;
+    printf ("SV7        %12.6f (%4.1f%%) setup T\n", timings [3], 100. * timings [3] / total) ;
+    printf ("SV7        %12.6f (%4.1f%%) create T\n", timings [4], 100. * timings [4] / total) ;
+    printf ("SV7        %12.6f (%4.1f%%) fastsv sample\n", timings [5], 100 * timings [5] / total) ;
+    printf ("SV7        %12.6f (%4.1f%%) hash\n", timings [6], 100. * timings [6] / total) ;
+    printf ("SV7        %12.6f (%4.1f%%) prune\n", timings [7], 100. * timings [7] / total) ;
+    printf ("SV7 %12.6f (%4.1f%%) total final\n", timings [2], 100. * timings [2] / total) ;
+}
+#endif
+
+int LG_CC_FastSV7_FA         // SuiteSparse:GraphBLAS method, with GraphBLAS v10
+(
+    // output:
+    GrB_Vector *component,  // component(i)=r if node is in the component r
+    // input:
+    LAGraph_Graph G,        // input graph (modified then restored)
+    char *msg
+)
+{
+
+#if USING_GRAPHBLAS_V10
+
+    //--------------------------------------------------------------------------
+    // check inputs
+    //--------------------------------------------------------------------------
+
+    LG_CLEAR_MSG ;
+
+    #ifdef TIMINGS
+    double timings [16] ;
+    for (int kk = 0 ; kk < 16 ; kk++) timings [kk] = 0 ;
+    double tic = LAGraph_WallClockTime ( ) ;
+    LG_SET_BURBLE (false) ;
+    #endif
+
+    int64_t *range = NULL ;
+    void *Px = NULL ;
+    uint64_t Px_size = 0 ;
+    GrB_Index n, nvals, *ht_key = NULL, *count = NULL ;
+    void *Tp = NULL, *Tj = NULL ;
+    GrB_Vector parent = NULL, gp_new = NULL, mngp = NULL, gp = NULL, t = NULL,
+        parent2 = NULL, ramp_v = NULL ;
+    GrB_Matrix T = NULL ;
+    void *Tx = NULL ;
+    int *ht_count = NULL ;
+    GxB_Container A_Container = NULL, T_Container = NULL ;
+
+    LG_TRY (LAGraph_CheckGraph (G, msg)) ;
+    LG_ASSERT (component != NULL, GrB_NULL_POINTER) ;
+    (*component) = NULL ;
+
+    LG_ASSERT_MSG ((G->kind == LAGraph_ADJACENCY_UNDIRECTED ||
+       (G->kind == LAGraph_ADJACENCY_DIRECTED &&
+        G->is_symmetric_structure == LAGraph_TRUE)),
+        LAGRAPH_SYMMETRIC_STRUCTURE_REQUIRED,
+        "G->A must be known to be symmetric") ;
+
+    //--------------------------------------------------------------------------
+    // initializations
+    //--------------------------------------------------------------------------
+
+    GrB_Matrix A = G->A ;
+    GRB_TRY (GrB_Matrix_nrows (&n, A)) ;
+    GRB_TRY (GrB_Matrix_nvals (&nvals, A)) ;
+
+    // determine the integer type, operators, and semirings to use
+    GrB_Type Uint, Int ;
+    GrB_IndexUnaryOp ramp ;
+    GrB_Semiring min_2nd, min_2ndi ;
+    GrB_BinaryOp min, eq, imin ;
+    #ifdef COVERAGE
+    // Just for test coverage, use 64-bit ints for n > 100.  Do not use this
+    // rule in production!
+    #define NBIG 100
+    #else
+    // For production use: 64-bit integers if n > 2^31
+    #define NBIG INT32_MAX
+    #endif
+    if (n > NBIG)
+    {
+        // use 64-bit integers
+        Uint = GrB_UINT64 ;
+        Int  = GrB_INT64  ;
+        ramp = GrB_ROWINDEX_INT64 ;
+        min  = GrB_MIN_INT64 ;
+        imin = GrB_MIN_INT64 ;
+        eq   = GrB_EQ_INT64 ;
+        min_2nd  = GrB_MIN_SECOND_SEMIRING_INT64 ;
+        min_2ndi = GxB_MIN_SECONDI_INT64 ;
+    }
+    else
+    {
+        // use 32-bit integers
+        Uint = GrB_UINT32 ;
+        Int  = GrB_INT32  ;
+        ramp = GrB_ROWINDEX_INT32 ;
+        min  = GrB_MIN_INT32 ;
+        imin = GrB_MIN_INT32 ;
+        eq   = GrB_EQ_INT32 ;
+        min_2nd  = GrB_MIN_SECOND_SEMIRING_INT32 ;
+        min_2ndi = GxB_MIN_SECONDI_INT32 ;
+    }
+
+    // FASTSV_SAMPLES: number of samples to take from each row A(i,:).
+    // Sampling is used if the average degree is > 8 and if n > 1024.
+    #define FASTSV_SAMPLES 4
+    bool sampling = (nvals > n * FASTSV_SAMPLES * 2 && n > 1024) ;
+
+    //--------------------------------------------------------------------------
+    // make ramp needed for FastAssign speedup
+    //--------------------------------------------------------------------------
+    GRB_TRY (GrB_Vector_new (&(ramp_v), Uint, n+1)) ;
+    GRB_TRY (GrB_assign (ramp_v, NULL, NULL, 0, GrB_ALL, n+1,
+        NULL)) ;
+    GRB_TRY (GrB_apply (ramp_v, NULL, NULL, ramp, ramp_v, 0, NULL)) ;
+// [ todo: nthreads will not be needed once GxB_select with a GxB_RankUnaryOp
+// and a new GxB_extract are added to SuiteSparse:GraphBLAS.
+    // determine # of threads to use
+    int nthreads, nthreads_outer, nthreads_inner ;
+    LG_TRY (LAGraph_GetNumThreads (&nthreads_outer, &nthreads_inner, msg)) ;
+    nthreads = nthreads_outer * nthreads_inner ;
+    nthreads = LAGRAPH_MIN (nthreads, n / 16) ;
+    nthreads = LAGRAPH_MAX (nthreads, 1) ;
+// ]
+
+    GRB_TRY (GxB_Container_new (&A_Container)) ;
+    GRB_TRY (GxB_Container_new (&T_Container)) ;
+
+    //--------------------------------------------------------------------------
+    // warmup: parent = min (0:n-1, A*1) using the MIN_SECONDI semiring
+    //--------------------------------------------------------------------------
+
+    // parent (i) = min (i, j) for all entries A(i,j).  This warmup phase takes only
+    // O(n) time, because of how the MIN_SECONDI semiring is implemented in
+    // SuiteSparse:GraphBLAS.  A is held by row, and the first entry in A(i,:)
+    // is the minimum index j, so only the first entry in A(i,:) needs to be
+    // considered for each row i.
+
+    GRB_TRY (GrB_Vector_new (&t, GrB_BOOL, n)) ;
+    GRB_TRY (GrB_Vector_new (&parent, Int, n)) ;
+    GRB_TRY (GrB_assign (t, NULL, NULL, 0, GrB_ALL, n, NULL)) ;
+    GRB_TRY (GrB_assign (parent, NULL, NULL, 0, GrB_ALL, n, NULL)) ;
+    GRB_TRY (GrB_apply (parent, NULL, NULL, ramp, parent, 0, NULL)) ;
+    GRB_TRY (GrB_mxv (parent, NULL, imin, min_2ndi, A, t, NULL)) ;
+    GRB_TRY (GrB_free (&t)) ;
+
+    // copy parent into gp and mngp.
+    GRB_TRY (GrB_Vector_dup (&gp, parent)) ;
+    GRB_TRY (GrB_Vector_dup (&mngp, parent)) ;
+
+    // allocate workspace vectors
+    GRB_TRY (GrB_Vector_new (&gp_new, Int, n)) ;
+    GRB_TRY (GrB_Vector_new (&t, GrB_BOOL, n)) ;
+    GRB_TRY (GrB_Vector_new (&parent2, Int, n)) ;
+
+    #ifdef TIMINGS
+    double toc = LAGraph_WallClockTime ( ) ;
+    timings [0] = toc - tic ;  // init time
+    tic = toc ;
+    #endif
+
+    //--------------------------------------------------------------------------
+    // sample phase
+    //--------------------------------------------------------------------------
+
+    if (sampling)
+    {
+
+// [ todo: GxB_select, using a new operator: GxB_RankUnaryOp, will do all this,
+// with GxB_Matrix_select_RankOp_Scalar with operator GxB_LEASTRANK and a
+// GrB_Scalar input equal to FASTSV_SAMPLES.  Built-in operators will be,
+// (where y is INT64):
+//
+//      GxB_LEASTRANK (aij, i, j, k, d, y): select if aij has rank k <= y
+//      GxB_NLEASTRANK: select if aij has rank k > y
+//      GxB_GREATESTRANK (...) select if aij has rank k >= (d-y) where
+//          d = # of entries in A(i,:).
+//      GxB_NGREATESTRANK (...): select if aij has rank k < (d-y)
+// and perhaps other operators such as:
+//      GxB_LEASTRELRANK (...): select aij if rank k <= y*d where y is double
+//      GxB_GREATESTRELRANK (...): select aij rank k > y*d where y is double
+//
+// By default, the rank of aij is its relative position as the kth entry in its
+// row (from "left" to "right").  If a new GxB setting in the descriptor is
+// set, then k is the relative position of aij as the kth entry in its column.
+// The default would be that the rank is the position of aij in its row A(i,:).
+
+// Other:
+//      give me 3 random items from the row (y = 3)
+//      give me the 4 biggest *values* in each row (y = 4)
+
+        //----------------------------------------------------------------------
+        // unload A in CSR format
+        //----------------------------------------------------------------------
+
+        #ifdef TIMINGS
+        double tic2 = LAGraph_WallClockTime ( ) ;
+        #endif
+
+        void *Ap = NULL, *Aj = NULL ;
+        uint64_t Ap_size, Aj_size, Ap_len, Aj_len ;
+        bool A_jumbled, A_iso ;
+        int Ap_handling, Aj_handling ;
+
+        // unload A in sparse CSR format into the A_Container
+        GRB_TRY (GrB_set (A, GxB_SPARSE, GxB_SPARSITY_CONTROL)) ;
+        GRB_TRY (GrB_set (A, GrB_ROWMAJOR, GrB_STORAGE_ORIENTATION_HINT)) ;
+        GRB_TRY (GxB_unload_Matrix_into_Container (A, A_Container, NULL)) ;
+        A_jumbled = A_Container->jumbled ;
+        A_iso = A_Container->iso ;
+
+        // unload A_Container->p,i into the C arrays, Ap and Aj
+        GrB_Type Ap_type, Aj_type ;
+        GRB_TRY (GxB_Vector_unload (A_Container->p, &Ap, &Ap_type, &Ap_len,
+            &Ap_size, &Ap_handling, NULL)) ;
+        GRB_TRY (GxB_Vector_unload (A_Container->i, &Aj, &Aj_type, &Aj_len,
+            &Aj_size, &Aj_handling, NULL)) ;
+
+        bool Ap_is_32 = (Ap_type == GrB_UINT32 || Ap_type == GrB_INT32) ;
+        bool Aj_is_32 = (Aj_type == GrB_UINT32 || Aj_type == GrB_INT32) ;
+        const uint32_t *Ap32 = Ap_is_32 ? Ap : NULL ;
+        const uint64_t *Ap64 = Ap_is_32 ? NULL : Ap ;
+        const uint32_t *Aj32 = Aj_is_32 ? Aj : NULL ;
+        const uint64_t *Aj64 = Aj_is_32 ? NULL : Aj ;
+
+        //----------------------------------------------------------------------
+        // allocate workspace, including space to construct T
+        //----------------------------------------------------------------------
+
+        bool Tp_is_32 = (nvals < UINT32_MAX) ;
+        bool Tj_is_32 = (n < INT32_MAX) ;
+        GrB_Type Tp_type = Tp_is_32 ? GrB_UINT32 : GrB_UINT64 ;
+        GrB_Type Tj_type = Tj_is_32 ? GrB_UINT32 : GrB_UINT64 ;
+        size_t tpsize = Tp_is_32 ? sizeof (uint32_t) : sizeof (uint64_t) ;
+        size_t tjsize = Tj_is_32 ? sizeof (uint32_t) : sizeof (uint64_t) ;
+
+        GrB_Index Tp_size = (n+1) * tpsize ;
+        GrB_Index Tj_size = nvals * tjsize ;
+        GrB_Index Tx_size = sizeof (bool) ;
+        LG_TRY (LAGraph_Malloc ((void **) &Tp, n+1, tpsize, msg)) ;
+        LG_TRY (LAGraph_Malloc ((void **) &Tj, nvals, tjsize, msg)) ;
+        LG_TRY (LAGraph_Calloc ((void **) &Tx, 1, sizeof (bool), msg)) ;
+        LG_TRY (LAGraph_Malloc ((void **) &range, nthreads+1, sizeof (int64_t),
+            msg)) ;
+        LG_TRY (LAGraph_Calloc ((void **) &count, nthreads+1, sizeof (uint64_t),
+            msg)) ;
+
+        uint32_t *Tp32 = Tp_is_32 ? Tp : NULL ;
+        uint64_t *Tp64 = Tp_is_32 ? NULL : Tp ;
+        uint32_t *Tj32 = Tj_is_32 ? Tj : NULL ;
+        uint64_t *Tj64 = Tj_is_32 ? NULL : Tj ;
+
+        //----------------------------------------------------------------------
+        // define parallel tasks to construct T
+        //----------------------------------------------------------------------
+
+        // thread tid works on rows range[tid]:range[tid+1]-1 of A and T
+        int tid;
+        for (tid = 0 ; tid <= nthreads ; tid++)
+        {
+            range [tid] = (n * tid + nthreads - 1) / nthreads ;
+        }
+
+        //----------------------------------------------------------------------
+        // determine the number entries to be constructed in T for each thread
+        //----------------------------------------------------------------------
+
+        #pragma omp parallel for num_threads(nthreads) schedule(static)
+        for (tid = 0 ; tid < nthreads ; tid++)
+        {
+            for (int64_t i = range [tid] ; i < range [tid+1] ; i++)
+            {
+                int64_t deg = AP (i + 1) - AP (i) ;
+                count [tid + 1] += LAGRAPH_MIN (FASTSV_SAMPLES, deg) ;
+            }
+        }
+
+        //----------------------------------------------------------------------
+        // count = cumsum (count)
+        //----------------------------------------------------------------------
+
+        for (tid = 0 ; tid < nthreads ; tid++)
+        {
+            count [tid + 1] += count [tid] ;
+        }
+
+        #ifdef TIMINGS
+        double toc2 = LAGraph_WallClockTime ( ) ;
+        timings [3] = toc2 - tic2 ;  // setup T
+        tic2 = toc2 ;
+        #endif
+
+        //----------------------------------------------------------------------
+        // construct T
+        //----------------------------------------------------------------------
+
+        // T (i,:) consists of the first FASTSV_SAMPLES of A (i,:).
+
+        #pragma omp parallel for num_threads(nthreads) schedule(static)
+        for (tid = 0 ; tid < nthreads ; tid++)
+        {
+            GrB_Index p = count [tid] ;
+            int64_t ktid = range [tid] ;
+            SET_TP (ktid, p) ;      // Tp [ktid] = p ;
+            for (int64_t i = range [tid] ; i < range [tid+1] ; i++)
+            {
+                // construct T (i,:) from the first entries in A (i,:)
+                for (int64_t j = 0 ;
+                    j < FASTSV_SAMPLES && AP (i) + j < AP (i + 1) ; j++)
+                {
+                    uint64_t pi = AP (i) + j ;
+                    uint64_t j = AJ (pi) ;
+                    SET_TJ (p, j) ;         // Tj [p] = j ;
+                    p++ ;
+                }
+                SET_TP (i+1, p) ;           // Tp [i + 1] = p ;
+            }
+        }
+
+        //----------------------------------------------------------------------
+        // import the result into the GrB_Matrix T
+        //----------------------------------------------------------------------
+
+        GRB_TRY (GrB_Matrix_new (&T, GrB_BOOL, n, n)) ;
+
+        uint64_t T_nvals = TP (n) ;
+        uint64_t Tp_len = n+1 ;
+        uint64_t Tj_len = T_nvals ;
+
+        T_Container->nrows = n ;
+        T_Container->ncols = n ;
+        T_Container->nrows_nonempty = -1 ;
+        T_Container->ncols_nonempty = -1 ;
+        T_Container->nvals = T_nvals ;
+        T_Container->format = GxB_SPARSE ;
+        T_Container->orientation = GrB_ROWMAJOR ;
+        T_Container->iso = true ;
+        T_Container->jumbled = A_jumbled ;
+
+        // load Tp, Tj, and Tx into the T_Container
+        GRB_TRY (GxB_Vector_load (T_Container->p, &Tp, Tp_type, Tp_len,
+            Tp_size, GrB_DEFAULT, NULL)) ;
+        GRB_TRY (GxB_Vector_load (T_Container->i, &Tj, Tj_type, Tj_len,
+            Tj_size, GrB_DEFAULT, NULL)) ;
+        GRB_TRY (GxB_Vector_load (T_Container->x, &Tx, GrB_BOOL, 1,
+            Tx_size, GrB_DEFAULT, NULL)) ;
+
+        // load T from the T_Container
+        GRB_TRY (GxB_load_Matrix_from_Container (T, T_Container, NULL)) ;
+
+// ] todo: the above will all be done as a single call to GxB_select.
+
+        #ifdef TIMINGS
+        toc2 = LAGraph_WallClockTime ( ) ;
+        timings [4] = toc2 - tic2 ;  // create T
+        tic2 = toc2 ;
+        #endif
+
+        //----------------------------------------------------------------------
+        // find the connected components of T
+        //----------------------------------------------------------------------
+
+        LG_TRY (fastsv (T, parent2, mngp, &gp, &gp_new, t, eq, min, min_2nd,
+            parent, ramp_v, msg)) ;
+
+        #ifdef TIMINGS
+        toc2 = LAGraph_WallClockTime ( ) ;
+        timings [5] = toc2 - tic2 ;  // fastsv, in sampling
+        tic2 = toc2 ;
+        #endif
+
+        //----------------------------------------------------------------------
+        // unload the parent i vector into the Px array
+        //----------------------------------------------------------------------
+
+        int handling = 0 ;
+        GrB_Type type = NULL ;
+        GRB_TRY (GxB_Vector_unload (parent, &Px, &type, &n, &Px_size,
+            &handling, NULL)) ;
+        bool Px_is_32 = (type == GrB_UINT32 || type == GrB_INT32) ;
+        uint32_t *Px32 = Px_is_32 ? Px : NULL ;
+        uint64_t *Px64 = Px_is_32 ? NULL : Px ;
+
+        // At this point, the Px array holds the content of parent vector.
+
+        //----------------------------------------------------------------------
+        // use sampling to estimate the largest connected component in T
+        //----------------------------------------------------------------------
+
+        // The sampling below computes an estimate of the mode of the parent
+        // vector, the contents of which are currently in the non-opaque Px
+        // array.
+
+        // hash table size must be a power of 2
+        #define HASH_SIZE 1024
+        // number of samples to insert into the hash table
+        #define HASH_SAMPLES 864
+        #define HASH(x) (((x << 4) + x) & (HASH_SIZE-1))
+        #define NEXT(x) ((x + 23) & (HASH_SIZE-1))
+
+        // allocate and initialize the hash table
+        LG_TRY (LAGraph_Malloc ((void **) &ht_key, HASH_SIZE,
+            sizeof (GrB_Index), msg)) ;
+        LG_TRY (LAGraph_Calloc ((void **) &ht_count, HASH_SIZE,
+            sizeof (int), msg)) ;
+        for (int k = 0 ; k < HASH_SIZE ; k++)
+        {
+            ht_key [k] = UINT64_MAX ;
+        }
+
+        // hash the samples and find the most frequent entry
+        uint64_t seed = n ;         // random number seed
+        int64_t key = -1 ;          // most frequent entry
+        int max_count = 0 ;         // frequency of most frequent entry
+        for (int64_t k = 0 ; k < HASH_SAMPLES ; k++)
+        {
+            // select an entry ii from PARENT at random
+            uint64_t i = LG_Random64 (&seed) % n ;
+            GrB_Index x = PARENT (i) ;
+            // find x in the hash table
+            GrB_Index h = HASH (x) ;
+            while (ht_key [h] != UINT64_MAX && ht_key [h] != x) h = NEXT (h) ;
+            // add x to the hash table
+            ht_key [h] = x ;
+            ht_count [h]++ ;
+            // keep track of the most frequent value
+            if (ht_count [h] > max_count)
+            {
+                key = ht_key [h] ;
+                max_count = ht_count [h] ;
+            }
+        }
+
+        #ifdef TIMINGS
+        toc2 = LAGraph_WallClockTime ( ) ;
+        timings [6] = toc2 - tic2 ;  // hash
+        tic2 = toc2 ;
+        #endif
+
+        //----------------------------------------------------------------------
+        // compact the largest connected component in A
+        //----------------------------------------------------------------------
+
+        // Construct a new matrix T from the input matrix A (the matrix A is
+        // not changed). The key node is the representative of the (estimated)
+        // largest component.  T is constructed as a copy of A, except:
+        // (1) all edges A(i,:) for nodes i in the key component deleted, and
+        // (2) for nodes i not in the key component, A(i,j) is deleted if
+        //     j is in the key component.
+        // (3) If A(i,:) has any deletions from (2), T(i,key) is added to T.
+
+// [ todo: replace this with GxB_extract with GrB_Vector index arrays.
+// See https://github.com/GraphBLAS/graphblas-api-c/issues/67 .
+// This method will not insert the new entries T(i,key) for rows i that have
+// had entries deleted.  That can be done with GrB_assign, with an n-by-1 mask
+// M computed from the before-and-after row degrees of A and T:
+// M = (parent != key) && (out_degree(T) < out_degree(A))
+// J [0] = key.
+// GxB_Matrix_subassign_BOOL (T, M, NULL, true, GrB_ALL, n, J, 1, NULL)
+// or with
+// GrB_Col_assign (T, M, NULL, t, GrB_ALL, j, NULL) with an all-true
+// vector t.
+
+        // unload T from the T_Container; its contents are revised below
+        GRB_TRY (GxB_unload_Matrix_into_Container (T, T_Container, NULL)) ;
+
+        // unload Tp and Tj from the T_Container
+        int ignore ;
+        GRB_TRY (GxB_Vector_unload (T_Container->p, &Tp, &Tp_type, &Tp_len,
+            &Tp_size, &ignore, NULL)) ;
+        GRB_TRY (GxB_Vector_unload (T_Container->i, &Tj, &Tj_type, &Tj_len,
+            &Tj_size, &ignore, NULL)) ;
+
+        // these are likely to be unchanged since the last load of T
+        Tp_is_32 = (Tp_type == GrB_UINT32 || Tp_type == GrB_INT32) ;
+        Tj_is_32 = (Tj_type == GrB_UINT32 || Tj_type == GrB_INT32) ;
+        Tp32 = Tp_is_32 ? Tp : NULL ;
+        Tp64 = Tp_is_32 ? NULL : Tp ;
+        Tj32 = Tj_is_32 ? Tj : NULL ;
+        Tj64 = Tj_is_32 ? NULL : Tj ;
+
+        #pragma omp parallel for num_threads(nthreads) schedule(static)
+        for (tid = 0 ; tid < nthreads ; tid++)
+        {
+            uint64_t ktid = range [tid] ;
+            GrB_Index p = AP (ktid) ;
+            // thread tid scans A (range [tid]:range [tid+1]-1,:),
+            // and constructs T(i,:) for all rows in this range.
+            for (int64_t i = range [tid] ; i < range [tid+1] ; i++)
+            {
+                int64_t pi = PARENT (i) ;
+                int64_t pstart = p ;
+                SET_TP (i, p) ; // Tp [i] = p ; start the construction of T(i,:)
+                // T(i,:) is empty if pi == key
+                if (pi != key)
+                {
+                    // scan A(i,:)
+                    for (GrB_Index pS = AP (i) ; pS < AP (i+1) ; pS++)
+                    {
+                        // get A(i,j)
+                        int64_t j = AJ (pS) ;
+                        if (PARENT (j) != key)
+                        {
+                            // add the entry T(i,j) to T, but skip it if
+                            // PARENT (j) is equal to key
+                            SET_TJ (p, j)       // Tj [p] = j ;
+                            p++ ;
+                        }
+                    }
+                    // Add the entry T(i,key) if there is room for it in T(i,:);
+                    // if and only if node i is adjacent to a node j in the
+                    // largest component.  The only way there can be space if
+                    // at least one T(i,j) appears with PARENT (j) equal to the
+                    // key (that is, node j is in the largest connected
+                    // component, key == PARENT (j).  One of these j's can then
+                    // be replaced with the key.  If node i is not adjacent to
+                    // any node in the largest component, then there is no
+                    // space in T(i,:) and no new edge to the largest component
+                    // is added.
+                    if (p - pstart < AP (i+1) - AP (i))
+                    {
+                        SET_TJ (p, key) ;       // Tj [p] = key ;
+                        p++ ;
+                    }
+                }
+            }
+            // count the number of entries inserted into T by this thread
+            count [tid] = p - TP (ktid) ;
+        }
+
+        // Compact empty space out of Tj not filled in from the above phase.
+        nvals = 0 ;
+        for (tid = 0 ; tid < nthreads ; tid++)
+        {
+            int64_t ktid = range [tid]  ;
+            memmove (Tj32 ? ((void *) (Tj32 + nvals)) : ((void *) (Tj64 + nvals)),
+                     Tj32 ? ((void *) (Tj32 + TP (ktid))) : ((void *) (Tj64 + TP (ktid))),
+                     tjsize * count [tid]) ;
+
+#if 0
+            if (Tj32)
+            {
+                memmove (Tj32 + nvals, Tj32 + TP (ktid),
+                    sizeof (uint32_t) * count [tid]) ;
+            }
+            else
+            {
+                memmove (Tj64 + nvals, Tj64 + TP (ktid),
+                    sizeof (uint64_t) * count [tid]) ;
+            }
+#endif
+
+            nvals += count [tid] ;
+            count [tid] = nvals - count [tid] ;
+        }
+
+        // Compact empty space out of Tp
+        #pragma omp parallel for num_threads(nthreads) schedule(static)
+        for (tid = 0 ; tid < nthreads ; tid++)
+        {
+            int64_t ktid = range [tid] ;
+            GrB_Index p = TP (ktid) ;
+            for (int64_t i = range [tid] ; i < range [tid+1] ; i++)
+            {
+                int64_t tp = TP (i) ;
+                tp -= p - count [tid] ;
+                SET_TP (i, tp) ;            // Tp [i] = tp ;
+            }
+        }
+
+        // finalize T
+        SET_TP (n, nvals) ;     // Tp [n] = nvals ;
+        Tj_len = nvals ;
+
+        // load T_Container->p,i from the C arrays, Tp and Tj, for final phase
+        GRB_TRY (GxB_Vector_load (T_Container->p, &Tp, Tp_type, Tp_len,
+            Tp_size, GrB_DEFAULT, NULL)) ;
+        GRB_TRY (GxB_Vector_load (T_Container->i, &Tj, Tj_type, Tj_len,
+            Tj_size, GrB_DEFAULT, NULL)) ;
+
+        T_Container->nrows_nonempty = -1 ;
+        T_Container->ncols_nonempty = -1 ;
+        T_Container->jumbled = true ;
+        T_Container->nvals = nvals ;
+
+        // load T in sparse CSR format from the T_Container
+        GRB_TRY (GxB_load_Matrix_from_Container (T, T_Container, NULL)) ;
+
+        // load A_Container->p,i from the C arrays, Ap and Aj
+        // This is the original G->A, and it is unchanged.
+        GRB_TRY (GxB_Vector_load (A_Container->p, &Ap, Ap_type, Ap_len,
+            Ap_size, Ap_handling, NULL)) ;
+        GRB_TRY (GxB_Vector_load (A_Container->i, &Aj, Aj_type, Aj_len,
+            Aj_size, Aj_handling, NULL)) ;
+
+        // load A in sparse CSR format from the A_Container
+        GRB_TRY (GxB_load_Matrix_from_Container (A, A_Container, NULL)) ;
+
+        //----------------------------------------------------------------------
+        // load the Px array back into the parent vector
+        //----------------------------------------------------------------------
+
+        GRB_TRY (GxB_Vector_load (parent, &Px, type, n, Px_size,
+            GrB_DEFAULT, NULL)) ;
+
+// ].  The unload/load of A into Ap, Aj, Ax will not be needed, and G->A
+// will become truly a read-only matrix.
+
+        // final phase uses the pruned matrix T
+        A = T ;
+
+        #ifdef TIMINGS
+        toc2 = LAGraph_WallClockTime ( ) ;
+        timings [7] = toc2 - tic2 ;  // prune
+        tic2 = toc2 ;
+        #endif
+    }
+
+    #ifdef TIMINGS
+    toc = LAGraph_WallClockTime ( ) ;
+    timings [1] = toc - tic ;  // total sampling time
+    tic = toc ;
+    #endif
+
+    //--------------------------------------------------------------------------
+    // check for quick return
+    //--------------------------------------------------------------------------
+
+    // The sample phase may have already found that G->A has a single component,
+    // in which case the matrix A is now empty.
+
+    if (nvals == 0)
+    {
+        (*component) = parent ;
+        LG_FREE_WORK ;
+        #ifdef TIMINGS
+        print_timings (timings) ;
+        LG_SET_BURBLE (false) ;
+        #endif
+        return (GrB_SUCCESS) ;
+    }
+
+    //--------------------------------------------------------------------------
+    // final phase
+    //--------------------------------------------------------------------------
+
+    LG_TRY (fastsv (A, parent2, mngp, &gp, &gp_new, t, eq, min, min_2nd,
+        parent, ramp_v, msg)) ;
+
+    //--------------------------------------------------------------------------
+    // free workspace and return result
+    //--------------------------------------------------------------------------
+
+    (*component) = parent ;
+    parent = NULL ;
+    LG_FREE_WORK ;
+    #ifdef TIMINGS
+    toc = LAGraph_WallClockTime ( ) ;
+    timings [2] = toc - tic ;  // final phase
+    print_timings (timings) ;
+    LG_SET_BURBLE (false) ;
+    #endif
+    return (GrB_SUCCESS) ;
+#else
+    LG_ASSERT (false, GrB_NOT_IMPLEMENTED) ;
+#endif
+}
diff --git a/experimental/benchmark/FastAssign_demo.c b/experimental/benchmark/FastAssign_demo.c
new file mode 100644
index 0000000000..139e8af902
--- /dev/null
+++ b/experimental/benchmark/FastAssign_demo.c
@@ -0,0 +1,177 @@
+//------------------------------------------------------------------------------
+// LAGraph/experimental/benchmark/speed_hash_demo.c: a simple demo
+//------------------------------------------------------------------------------
+
+// LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.
+// SPDX-License-Identifier: BSD-2-Clause
+//
+// For additional details (including references to third party source code and
+// other files) see the LICENSE file or contact permission@sei.cmu.edu. See
+// Contributors.txt for a full list of contributors. Created, in part, with
+// funding and support from the U.S. Government (see Acknowledgments.txt file).
+// DM22-0790
+
+// Contributed by Timothy A Davis, Texas A&M University
+
+//------------------------------------------------------------------------------
+
+
+#include "../../src/benchmark/LAGraph_demo.h"
+#include "LAGraphX.h"
+#include "LG_internal.h"
+// LG_FREE_ALL is required by LG_TRY
+#undef  LG_FREE_ALL
+#define LG_FREE_ALL                             \
+{                                               \
+    GrB_free (&rand_v) ;                             \
+    GrB_free (&build_v) ;                             \
+    GrB_free (&set_v) ;                             \
+    GrB_free (&assign_s) ;                             \
+    GrB_free (&fa_s) ;                             \
+    GrB_free (&x) ;                             \
+    GrB_free (&bool1) ;                             \
+    GrB_free (&ramp) ;                             \
+    LAGraph_Free ((void **)&rand_a, msg);       \
+}
+
+int main (int argc, char **argv)
+{
+    #if USING_GRAPHBLAS_V10
+    //--------------------------------------------------------------------------
+    // startup LAGraph and GraphBLAS
+    //--------------------------------------------------------------------------
+
+    char msg [LAGRAPH_MSG_LEN] ;        // for error messages from LAGraph
+    // start GraphBLAS and LAGraph
+    bool burble = false ;               // set true for diagnostic outputs
+    demo_init (burble) ;
+    GrB_Vector rand_v = NULL, build_v = NULL, set_v = NULL, assign_s = NULL, 
+        fa_s = NULL, x = NULL, ramp = NULL;
+    GrB_Index *rand_a = NULL;
+    GrB_Scalar bool1 = NULL;
+    bool *set_a = NULL;
+    GrB_Index r_size = 0, ramp_size = 0, junk_size = 0;
+    bool iso = false;
+
+    bool *val_of_P = NULL;
+    double t = LAGraph_WallClockTime ( ) ;
+    GrB_Index size = (argc > 1) ? atoll(argv [1]) : 1000 ;
+    int shift_e = __builtin_clzl(size);
+    GrB_Index size_p2 = (1ull << (64-shift_e));
+    GrB_Index bit_mask = size_p2 - 1;
+    GRB_TRY (GrB_Vector_new(&rand_v, GrB_UINT64, size)) ;
+    GRB_TRY (GrB_Vector_new(&x, GrB_BOOL, size)) ;
+    GRB_TRY (GrB_Vector_new(&build_v, GrB_BOOL, size_p2)) ;
+    GRB_TRY (GrB_Vector_new(&set_v, GrB_BOOL, size_p2)) ;
+    GRB_TRY (GrB_Vector_new(&assign_s, GrB_BOOL, size_p2)) ;
+    GRB_TRY (GrB_Vector_new(&fa_s, GrB_BOOL, size_p2)) ;
+    GRB_TRY (GrB_Scalar_new(&bool1, GrB_BOOL));
+
+    GrB_Type ramp_type = (size + 1 <= INT32_MAX)? GrB_UINT32: GrB_UINT64;
+    GrB_IndexUnaryOp idxnum = (size + 1 <= INT32_MAX)? 
+            GrB_ROWINDEX_INT32: GrB_ROWINDEX_INT64;
+    GRB_TRY (GrB_Vector_new(&ramp, ramp_type, size + 1));
+    GRB_TRY (GrB_assign (ramp, NULL, NULL, 0, GrB_ALL, 0, NULL)) ;
+    GRB_TRY (GrB_apply (ramp, NULL, NULL, idxnum, ramp, 0, NULL)) ;
+
+    GRB_TRY (GrB_Vector_assign_UINT64(
+        rand_v, NULL, NULL, 0ull, GrB_ALL, 0, NULL)) ;
+    GRB_TRY (GrB_Vector_assign_BOOL(
+        x, NULL, NULL, (bool) 1, GrB_ALL, 0, NULL)) ;
+    GRB_TRY (GrB_Scalar_setElement_BOOL(bool1, (bool) 1));
+
+    GRB_TRY(GrB_set (assign_s, GxB_BITMAP, GxB_SPARSITY_CONTROL) ;)
+    GRB_TRY(GrB_set (fa_s, GxB_BITMAP, GxB_SPARSITY_CONTROL) ;)
+    LG_TRY (LAGraph_Random_Seed(rand_v, 1548945616ul, msg)) ;
+    GRB_TRY (GrB_Vector_apply_BinaryOp1st_UINT64(
+        rand_v, NULL, NULL, GrB_BAND_UINT64, bit_mask, rand_v, NULL)) ;
+    t = LAGraph_WallClockTime ( ) - t ;
+    printf ("Time to create random vector:      %g sec\n", t) ;
+
+    //--------------------------------------------------------------------------
+    // try Methods of building a "set"
+    //--------------------------------------------------------------------------
+
+    
+    // Baseline: Build
+    t = LAGraph_WallClockTime ( ) ;
+    GRB_TRY (GxB_Vector_build_Scalar_Vector (
+        build_v, rand_v, bool1, NULL)) ;
+    GRB_TRY (GrB_wait(build_v, GrB_MATERIALIZE)) ;
+    t = LAGraph_WallClockTime ( ) - t ;
+    printf ("Time for Build: %g sec\n", t) ;
+    t = LAGraph_WallClockTime ( ) ;
+
+    #if 0
+    GRB_TRY (GxB_Vector_unpack_Full (
+        rand_v, (void **)&rand_a, &r_size, &iso, NULL
+    )) ;
+    // Baseline: Single Threaded random access insert
+    LAGraph_Calloc((void **)&set_a, size_p2, sizeof(bool), msg);
+    for(int64_t i = 0; i < size; ++i)
+    {
+        set_a[rand_a[i]] = (bool) 1;
+    }
+    t = LAGraph_WallClockTime ( ) - t ;
+    GRB_TRY (GxB_Vector_pack_Full (
+        set_v, (void **)&set_a, 1ull << (64-shift_e), false, NULL
+    )) ;
+     GRB_TRY (GxB_Vector_pack_Full (
+        rand_v, (void **)&rand_a, r_size, iso, NULL
+    )) ;
+    printf ("Time for Single Thread Unpack: %g sec\n", t) ;
+    #endif
+
+
+
+    // Baseline: GrB_assign
+    t = LAGraph_WallClockTime ( ) ;
+    GRB_TRY (GxB_Vector_assign_Scalar_Vector(
+        assign_s, NULL, NULL, bool1, rand_v, NULL)) ;
+    t = LAGraph_WallClockTime ( ) - t ;
+    printf ("Time for GraphBLAS Assign: %g sec\n", t) ;
+    
+    #if GxB_IMPLEMENTATION < GxB_VERSION (10,0,0) 
+    printf ("GraphBLAS version too low to test LAGraph_FastAssign\n") ;
+    #else
+    // FastAssign!
+    t = LAGraph_WallClockTime ( ) ;
+    LG_TRY (LAGraph_FastAssign_Semiring(
+        fa_s, NULL, NULL, rand_v, x, ramp, GxB_ANY_PAIR_BOOL, NULL, msg
+    ));
+    t = LAGraph_WallClockTime ( ) - t ;
+    printf ("Time for LAGraph_FastAssign: %g sec\n", t) ;
+    #endif
+
+    //--------------------------------------------------------------------------
+    // check the results (Make sure that assign == build == FastAssign )
+    //--------------------------------------------------------------------------
+    bool flag = true, isEq = 0;
+    LG_TRY (LAGraph_Vector_IsEqual(&isEq, assign_s, fa_s, msg));
+    flag &= isEq;
+    LG_TRY (LAGraph_Vector_IsEqual(&isEq, build_v, fa_s, msg));
+    flag &= isEq;
+    if(flag)
+        printf("TEST PASSED\n");
+    else
+        printf("TEST FAILED\n");
+
+    //--------------------------------------------------------------------------
+    // print the results 
+    //--------------------------------------------------------------------------
+
+    // printf ("\n===============================The result set vector:\n") ;
+    // GRB_TRY (GxB_fprint(set_v, GxB_SHORT, stdout)) ;
+    // GRB_TRY (GxB_fprint(assign_s, GxB_SHORT, stdout)) ;
+    //--------------------------------------------------------------------------
+    // free everyting and finish
+    //--------------------------------------------------------------------------
+
+    LG_FREE_ALL ;
+    LG_TRY (LAGraph_Finalize (msg)) ;
+    return (GrB_SUCCESS) ;
+    #else
+    printf ("GraphBLAS version too low to test LAGraph_FastAssign\n") ;
+    return (GrB_NOT_IMPLEMENTED) ;
+    #endif
+}
diff --git a/experimental/benchmark/SwapEdges_demo.c b/experimental/benchmark/SwapEdges_demo.c
new file mode 100644
index 0000000000..0a33b12072
--- /dev/null
+++ b/experimental/benchmark/SwapEdges_demo.c
@@ -0,0 +1,128 @@
+//------------------------------------------------------------------------------
+// LAGraph/experimental/benchmark/rcc_demo.c: a demo for RichClubCoefficient
+//------------------------------------------------------------------------------
+
+// LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.
+// SPDX-License-Identifier: BSD-2-Clause
+//
+// For additional details (including references to third party source code and
+// other files) see the LICENSE file or contact permission@sei.cmu.edu. See
+// Contributors.txt for a full list of contributors. Created, in part, with
+// funding and support from the U.S. Government (see Acknowledgments.txt file).
+// DM22-0790
+
+// Contributed by Timothy A Davis, Texas A&M University
+
+//------------------------------------------------------------------------------
+
+//      ./experimental/benchmark/rcc_demo ../data/west0067.mtx
+//      ./experimental/benchmark/rcc_demo < ../data/west0067.mtx
+//      ./experimental/benchmark/rcc_demo ../data/karate.mtx
+//
+
+#include "../../src/benchmark/LAGraph_demo.h"
+#include "LAGraphX.h"
+#include "LG_internal.h"
+
+// LG_FREE_ALL is required by LG_TRY
+#undef  LG_FREE_ALL
+#define LG_FREE_ALL                             \
+{                                               \
+    GrB_free (&Y) ;                             \
+    LAGraph_Delete (&G, msg) ;                  \
+    LAGraph_Delete (&G_new, msg) ;              \
+}
+
+int main (int argc, char **argv)
+{
+
+    //--------------------------------------------------------------------------
+    // startup LAGraph and GraphBLAS
+    //--------------------------------------------------------------------------
+
+    char msg [LAGRAPH_MSG_LEN] ;        // for error messages from LAGraph
+    LAGraph_Graph G = NULL, G_new = NULL;
+    GrB_Matrix Y = NULL ;
+
+    // start GraphBLAS and LAGraph
+    bool burble = true ;               // set true for diagnostic outputs
+    demo_init (burble) ;
+
+    //--------------------------------------------------------------------------
+    // read in the graph: this method is defined in LAGraph_demo.h
+    //--------------------------------------------------------------------------
+
+    // readproblem can read in a file in Matrix Market format, or in a binary
+    // format created by binwrite (see LAGraph_demo.h, or the main program,
+    // mtx2bin_demo).
+
+    double t = LAGraph_WallClockTime ( ) ;
+    GrB_Index swaps = (argc > 2) ? atoi(argv [2]): 100;
+    char *matrix_name = (argc > 1) ? argv [1] : "stdin" ;
+    FILE *f = (argc > 3) ? fopen (argv[3], "w"): NULL;
+    LG_TRY (readproblem (
+        &G,         // the graph that is read from stdin or a file
+        NULL,       // source nodes (none, if NULL)
+        true,      // make the graph undirected, if true
+        true,      // remove self-edges, if true
+        true,      // return G->A as structural, if true,
+        GrB_BOOL,       // prefered GrB_Type of G->A; null if no preference
+        false,      // ensure all entries are positive, if true
+        argc, argv)) ;  // input to this main program
+    t = LAGraph_WallClockTime ( ) - t ;
+    printf ("Time to read the graph:      %g sec\n", t) ;
+
+    printf ("\n==========================The input graph matrix G:\n") ;
+    LG_TRY (LAGraph_Graph_Print (G, LAGraph_SHORT, stdout, msg)) ;
+
+    //--------------------------------------------------------------------------
+    // try the LAGraph_EdgeSwap algorithm
+    //--------------------------------------------------------------------------
+
+    LG_TRY (LAGraph_Cached_OutDegree (G, msg)) ;
+    printf("Time To Swap #################################################") ;
+    t = LAGraph_WallClockTime ( ) ;
+    LG_TRY (LAGraph_SwapEdges (&Y, G, swaps, msg)) ;
+    t = LAGraph_WallClockTime ( ) - t ;
+    printf ("===============================LAGraph_SwapEdges took:  %g sec\n", t) ;
+    
+    //--------------------------------------------------------------------------
+    // check the results 
+    //--------------------------------------------------------------------------
+
+    t = LAGraph_WallClockTime ( ) ;
+    bool result = false;
+    LG_TRY(LAGraph_New(&G_new, &Y, LAGraph_ADJACENCY_UNDIRECTED, msg));
+    LG_TRY (LAGraph_Cached_OutDegree (G_new, msg)) ;
+    LG_TRY (LAGraph_Vector_IsEqual(
+        &result, G->out_degree, G_new->out_degree, msg)) ;
+    if (result)
+    {
+        printf ("Test passed.\n") ;
+    }
+    else
+    {
+        printf ("Test failure!\n") ;
+    }
+
+    t = LAGraph_WallClockTime ( ) - t ;
+    printf ("Time to check results:       %g sec\n", t) ;
+
+    //--------------------------------------------------------------------------
+    // print the results (Y is just a copy of G->A)
+    //--------------------------------------------------------------------------
+
+    printf ("\n===============================The result matrix:\n") ;
+    LG_TRY (LAGraph_Matrix_Print (G_new -> A, LAGraph_SHORT, stdout, msg)) ;
+    if(f)
+    {
+        LG_TRY (binwrite(&(G_new -> A), f, NULL)) ;
+    }
+    //--------------------------------------------------------------------------
+    // free everyting and finish
+    //--------------------------------------------------------------------------
+
+    LG_FREE_ALL ;
+    LG_TRY (LAGraph_Finalize (msg)) ;
+    return (GrB_SUCCESS) ;
+}
diff --git a/experimental/benchmark/rcc_demo.c b/experimental/benchmark/rcc_demo.c
new file mode 100644
index 0000000000..1ba638e333
--- /dev/null
+++ b/experimental/benchmark/rcc_demo.c
@@ -0,0 +1,146 @@
+//------------------------------------------------------------------------------
+// LAGraph/experimental/benchmark/rcc_demo.c: a demo for RichClubCoefficient
+//------------------------------------------------------------------------------
+
+// LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.
+// SPDX-License-Identifier: BSD-2-Clause
+//
+// For additional details (including references to third party source code and
+// other files) see the LICENSE file or contact permission@sei.cmu.edu. See
+// Contributors.txt for a full list of contributors. Created, in part, with
+// funding and support from the U.S. Government (see Acknowledgments.txt file).
+// DM22-0790
+
+// Contributed by Timothy A Davis, Texas A&M University
+
+//------------------------------------------------------------------------------
+
+//      ./experimental/benchmark/rcc_demo ../data/west0067.mtx
+//      ./experimental/benchmark/rcc_demo < ../data/west0067.mtx
+//      ./experimental/benchmark/rcc_demo ../data/karate.mtx
+//
+
+#include "../../src/benchmark/LAGraph_demo.h"
+#include "LAGraphX.h"
+#include "LG_internal.h"
+#include "LG_Xtest.h"
+
+void iseq(bool *z, const double *x, const double *y)
+{
+    (*z) = (isnan(*x) && isnan(*y)) ||*x == *y ;
+}
+#define ISEQ \
+"   void iseq(bool *z, const double *x, const double *y)                        \n"\
+"   {                                                                           \n"\
+"       (*z) = (isnan(*x) && isnan(*y)) || *x == *y ;                          \n"\
+"   }"
+// LG_FREE_ALL is required by LG_TRY
+#undef  LG_FREE_ALL
+#define LG_FREE_ALL                             \
+{                                               \
+    GrB_free (&rcc1) ;                          \
+    GrB_free (&rcc2) ;                          \
+    GrB_free (&iseqFP) ;                        \
+    LAGraph_Delete (&G, msg) ;                  \
+}
+#define SINGLERCC 1
+int main (int argc, char **argv)
+{
+
+    //--------------------------------------------------------------------------
+    // startup LAGraph and GraphBLAS
+    //--------------------------------------------------------------------------
+
+    char msg [LAGRAPH_MSG_LEN] ;        // for error messages from LAGraph
+    LAGraph_Graph G = NULL ;
+    GrB_Vector rcc1 = NULL, rcc2 = NULL ;
+    GrB_BinaryOp iseqFP = NULL ;
+
+    // start GraphBLAS and LAGraph
+    bool burble = true ;               // set true for diagnostic outputs
+    demo_init (burble) ;
+    GRB_TRY (GxB_BinaryOp_new (
+        &iseqFP, (GxB_binary_function) iseq, 
+        GrB_BOOL, GrB_FP64, GrB_FP64, "iseq", ISEQ)) ;
+    //--------------------------------------------------------------------------
+    // read in the graph: this method is defined in LAGraph_demo.h
+    //--------------------------------------------------------------------------
+
+    // readproblem can read in a file in Matrix Market format, or in a binary
+    // format created by binwrite (see LAGraph_demo.h, or the main program,
+    // mtx2bin_demo).
+
+    double t = LAGraph_WallClockTime ( ) ;
+    char *matrix_name = (argc > 1) ? argv [1] : "stdin" ;
+    LG_TRY (readproblem (
+        &G,         // the graph that is read from stdin or a file
+        NULL,       // source nodes (none, if NULL)
+        true,      // make the graph undirected, if true
+        true,      // remove self-edges, if true
+        true,      // return G->A as structural, if true,
+        GrB_BOOL,       // prefered GrB_Type of G->A; null if no preference
+        false,      // ensure all entries are positive, if true
+        argc, argv)) ;  // input to this main program
+    t = LAGraph_WallClockTime ( ) - t ;
+    printf ("Time to read the graph:      %g sec\n", t) ;
+
+    printf ("\n==========================The input graph matrix G:\n") ;
+    LG_TRY (LAGraph_Graph_Print (G, LAGraph_SHORT, stdout, msg)) ;
+
+    //--------------------------------------------------------------------------
+    // try the LAGraph_RCC algorithm
+    //--------------------------------------------------------------------------
+
+    LG_TRY (LAGraph_Cached_OutDegree (G, msg)) ;
+    printf ("\n========================== Start RCC ==========================\n") ;
+    t = LAGraph_WallClockTime ( ) ;
+    LG_TRY (LAGraph_RichClubCoefficient (&rcc1, G, msg)) ;
+    t = LAGraph_WallClockTime ( ) - t ;
+    printf ("Time for LAGraph_RichClubCoefficient: %g sec\n", t) ;
+    
+    #if SINGLERCC
+    int result;
+    LG_TRY (LAGraph_Cached_OutDegree (G, msg)) ;
+    printf ("\n========================== Start RCC ==========================\n") ;
+    t = LAGraph_WallClockTime ( ) ;
+    result = LG_check_rcc (&rcc2, G, msg) ;
+    t = LAGraph_WallClockTime ( ) - t ;
+    printf ("Time for LAGraph_RichClubCoefficient: %g sec\n", t) ;
+    #endif
+
+    //--------------------------------------------------------------------------
+    // check the results (make sure Y is a copy of G->A)
+    //--------------------------------------------------------------------------
+
+    t = LAGraph_WallClockTime ( ) ;
+    #if SINGLERCC
+    if(result == GrB_SUCCESS)
+    {
+        bool flag;
+        LG_TRY (LAGraph_Vector_IsEqualOp(&flag, rcc1, rcc2, iseqFP, msg)) ;
+        if (flag)
+            printf("TEST PASSED\n") ;
+        else
+            printf("TEST FAILED\n") ;
+    }
+    else
+        printf("Test indeterminate. Single Thread exited with %d\n", result) ;
+    #endif
+    t = LAGraph_WallClockTime ( ) - t ;
+    printf ("Time to check results:       %g sec\n", t) ;
+
+    //--------------------------------------------------------------------------
+    // print the results (Y is just a copy of G->A)
+    //--------------------------------------------------------------------------
+
+    printf ("\n===============================The result matrix Y:\n") ;
+    GRB_TRY (GxB_Vector_fprint (rcc1, "rcc", GxB_SHORT, stdout));
+
+    //--------------------------------------------------------------------------
+    // free everyting and finish
+    //--------------------------------------------------------------------------
+
+    LG_FREE_ALL ;
+    LG_TRY (LAGraph_Finalize (msg)) ;
+    return (GrB_SUCCESS) ;
+}
diff --git a/experimental/test/LG_check_RCC.c b/experimental/test/LG_check_RCC.c
new file mode 100644
index 0000000000..4617379ca6
--- /dev/null
+++ b/experimental/test/LG_check_RCC.c
@@ -0,0 +1,270 @@
+//------------------------------------------------------------------------------
+// LG_check_rcc: A hand coded RCC algorithm for CSR matircies.
+//------------------------------------------------------------------------------
+
+// LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.
+// SPDX-License-Identifier: BSD-2-Clause
+//
+// For additional details (including references to third party source code and
+// other files) see the LICENSE file or contact permission@sei.cmu.edu. See
+// Contributors.txt for a full list of contributors. Created, in part, with
+// funding and support from the U.S. Government (see Acknowledgments.txt file).
+// DM22-0790
+
+// Contributed by Gabriel Gomez, Texas A&M University
+
+//------------------------------------------------------------------------------
+
+#include <stdlib.h>
+#include "LG_internal.h"
+#include "LG_test.h"
+#include "LG_Xtest.h"
+
+#undef LG_FREE_WORK
+#undef LG_FREE_ALL
+
+#define LG_FREE_WORK                                    \
+{                                                       \
+    /* free any workspace used here */                  \
+    LAGraph_Free(&a_space, NULL) ;                  \
+    GrB_free (&cont) ;                                  \
+    LAGraph_Free((void **)&Ai, NULL) ;               \
+    LAGraph_Free((void **)&Ap, NULL) ;               \
+    LAGraph_Free((void **)&slice, NULL) ;               \
+}
+
+#define LG_FREE_ALL                         \
+{                                           \
+    /* free any workspace used here */      \
+    LG_FREE_WORK ;                          \
+    /* free all the output variable(s) */   \
+    LAGraph_Free((void **)&rcc, NULL) ;     \
+    GrB_free (rccs) ;      \
+}
+#define TIMINGS
+#ifdef TIMINGS
+static void print_timings (const double timings [16])
+{
+    double total = timings [0] + timings [1] + timings [2] + timings [3] + timings [4];
+    printf ("RCC %12.6f (%4.1f%%) init\n", timings [0], 100. * timings [0] / total) ;
+    printf ("RCC %12.6f (%4.1f%%) counting edges\n", timings [1], 100. * timings [1] / total) ;
+    printf ("RCC %12.6f (%4.1f%%) counting nodes\n", timings [2], 100. * timings [2] / total) ;
+    printf ("RCC %12.6f (%4.1f%%) cumulative sum\n", timings [3], 100. * timings [3] / total) ;
+    printf ("RCC %12.6f (%4.1f%%) calculation\n", timings [4], 100. * timings [4] / total) ;
+}
+#endif
+
+//Scuffed upperbound function 
+static int64_t LG_binary_search    // returns upperbound - 1
+(
+    const int64_t pivot,
+    const int64_t *LG_RESTRICT X_0,         // search in X [p_start..p_end_-1]
+    const int64_t p_start,
+    const int64_t p_end
+)
+{
+
+    //--------------------------------------------------------------------------
+    // find where the Pivot appears in X
+    //--------------------------------------------------------------------------
+
+    // binary search of X [p_start...p_end-1] for the Pivot
+    int64_t pleft = p_start ;
+    int64_t pright = p_end;
+    while (pleft < pright)
+    {
+        int64_t pmiddle = pleft + (pright - pleft) / 2 ;
+        bool less = (X_0 [pmiddle] < pivot) ;
+        pleft  = less ? pmiddle + 1 : pleft ;
+        pright = less ? pright : pmiddle ;
+    }
+    if(X_0[pleft] <= pivot)
+        pleft++;
+    return (--pleft) ;
+}
+
+
+int LG_check_rcc
+
+(
+    // output:
+    //rccs(i): rich club coefficent of i
+    GrB_Vector *rccs,    
+
+    // input: 
+    LAGraph_Graph G, //input graph
+    char *msg
+)
+{
+    #if USING_GRAPHBLAS_V10
+    GxB_Container cont = NULL;
+    GrB_Matrix A = G->A;
+    int64_t  *Ap = NULL, *Ai = NULL;
+    void *a_space = NULL;
+    GrB_Type p_type = NULL, i_type = NULL;
+    int p_hand = 0, i_hand = 0;
+    int n_threads = LG_nthreads_outer * LG_nthreads_inner;
+    uint64_t p_n = 0, i_n = 0, p_size = 0, i_size = 0, max_deg = 0;
+    uint64_t *epd = NULL, *vpd = NULL;
+    int64_t *LG_RESTRICT slice  = NULL;
+    double *rcc = NULL;
+    #ifdef TIMINGS
+    double timings [16] ;
+    memset(timings, 0, 16*sizeof(double)) ;
+    double tic = LAGraph_WallClockTime ( ) ;
+    LG_SET_BURBLE (false) ;
+    #endif
+
+    //--------------------------------------------------------------------------
+    // Check inputs
+    //--------------------------------------------------------------------------
+    LG_TRY (LAGraph_CheckGraph (G, msg)) ;
+    LG_ASSERT (rccs != NULL, GrB_NULL_POINTER);
+
+    LG_ASSERT_MSG(
+        G->kind == LAGraph_ADJACENCY_UNDIRECTED, GrB_INVALID_VALUE, 
+        "G->A must be symmetric") ;
+    LG_ASSERT_MSG(
+        G->is_symmetric_structure == LAGraph_TRUE, GrB_INVALID_VALUE, 
+        "G->A must be symmetric") ;
+    LG_ASSERT_MSG (G->out_degree != NULL, GrB_EMPTY_OBJECT,
+        "G->out_degree must be defined") ;
+    LG_ASSERT_MSG (G->nself_edges == 0, GrB_INVALID_VALUE, 
+        "G->nself_edges must be zero") ; 
+    GRB_TRY(GxB_Container_new(&cont)) ;
+    GRB_TRY(GxB_unload_Matrix_into_Container(A, cont, NULL)) ;
+    LG_ASSERT_MSG(cont->format == GxB_SPARSE, GrB_NOT_IMPLEMENTED, 
+        "Matrix must be sparse") ;    
+    LG_TRY (LAGraph_Malloc(
+        (void **) &Ap, cont->nvals, sizeof(uint64_t), NULL)) ;
+    LG_TRY (LAGraph_Malloc(
+        (void **) &Ai, cont->nvals + 1, sizeof(uint64_t), NULL)) ;
+    p_n = cont->nvals + 1; i_n = cont->nvals;
+    GRB_TRY (GrB_Vector_extractTuples_INT64(
+        NULL, Ap, &p_n, cont->p)) ;
+    GRB_TRY (GrB_Vector_extractTuples_INT64(
+        NULL, Ai, &i_n, cont->i)) ;
+    GRB_TRY (GxB_load_Matrix_from_Container(A, cont, NULL)) ;
+    GRB_TRY (GrB_Vector_reduce_INT64(
+        &max_deg, NULL, GrB_MAX_MONOID_INT64, G->out_degree, NULL)) ;
+    int64_t i = 0;
+    #ifdef TIMINGS
+    timings[0] = LAGraph_WallClockTime ( );
+    #endif
+    LG_TRY (LAGraph_Calloc(&a_space, max_deg * 2, sizeof(uint64_t), NULL)) ;
+    LG_TRY (LAGraph_Malloc((void **)&slice, n_threads + 1, sizeof(int64_t), NULL)) ;
+    epd = a_space ;
+    vpd = a_space + max_deg * sizeof(uint64_t) ;
+    LG_TRY (LAGraph_Malloc((void **) &rcc, max_deg, sizeof(double), NULL)) ;
+    LG_eslice (slice, i_n, n_threads) ;
+    #pragma omp parallel for num_threads(n_threads) schedule(static, 1) private(i)
+    for (int tid = 0 ; tid < n_threads ; tid++)
+    {
+        int64_t loc_sum = 0, dp = 0;
+        int64_t loc_arr[1024];
+        memset(loc_arr, 0, 1024 * sizeof(int64_t));
+        i = slice[tid];
+        int64_t ptr = LG_binary_search(i, Ap, 0, p_n - 1) ;
+        while(i < slice[tid + 1])
+        {
+            while(Ap[ptr + 1] <= i) ++ptr;
+            int64_t dp = Ap[ptr + 1] - Ap[ptr];
+            if(dp <= 1024)
+                for(; i < slice[tid + 1] && i < Ap[ptr + 1]; ++i)
+                {
+                    uint64_t di = Ap[Ai[i] + 1] - Ap[Ai[i]];
+                    loc_arr[dp - 1] += (dp < di) + (dp <= di);
+                }
+            else
+            {
+                loc_sum = 0;
+                for(; i < slice[tid + 1] && i < Ap[ptr + 1]; ++i)
+                {
+                    uint64_t di = Ap[Ai[i]+1] - Ap[Ai[i]];
+                    loc_sum += (dp < di) + (dp <= di);
+                }
+                #pragma omp atomic
+                    epd[dp - 1] += loc_sum ;
+            }
+        }
+        #pragma omp critical
+        {
+            for(int64_t j = 0; j < 1024 && j < max_deg; ++j)
+            {
+                epd[j] += loc_arr[j];
+            }
+        }
+    }
+    #ifdef TIMINGS
+    timings[1] = LAGraph_WallClockTime ( );
+    #endif
+    
+    #pragma omp parallel
+    {
+        int64_t loc_arr[1024];
+        memset(loc_arr, 0, 1024 * sizeof(int64_t));
+        #pragma omp for schedule(static)
+        for(i = 0; i < p_n - 1; ++i)
+        {
+            int64_t dp = Ap[i + 1] - Ap[i] - 1;
+            if(dp < 0) continue;
+            if(dp < 1024)
+            {
+                ++loc_arr[dp];
+            }
+            else
+            {
+                #pragma omp atomic
+                    ++vpd[dp];
+            }
+        }  
+        #pragma omp critical
+        {
+            for(int64_t j = 0; j < 1024 && j < max_deg; ++j)
+            {
+                vpd[j] += loc_arr[j];
+            }
+        }
+    }
+    
+    #ifdef TIMINGS
+    timings[2] = LAGraph_WallClockTime ( );
+    #endif
+    //run a cummulative sum (backwards)
+    for(i = max_deg - 1; i > 0; --i)
+    {
+        vpd[i-1] += vpd[i] ;
+        epd[i-1] += epd[i] ;
+    }
+    #ifdef TIMINGS
+    timings[3] = LAGraph_WallClockTime ( );
+    #endif
+    #pragma omp parallel for schedule(static)
+    for(i = 0; i < max_deg; ++i)
+    {
+        rcc[i] = ((double)epd[i]) / ((double)vpd[i] * ((double) vpd[i] - 1.0)) ;
+    }
+    #ifdef TIMINGS
+    timings[4] = LAGraph_WallClockTime ( );
+    timings[4] -= timings[3];
+    timings[3] -= timings[2];
+    timings[2] -= timings[1];
+    timings[1] -= timings[0];
+    timings[0] -= tic;
+    
+    print_timings(timings);
+    LG_SET_BURBLE(false);
+    #endif
+    epd = vpd = NULL;
+    GRB_TRY (GrB_Vector_new(rccs, GrB_FP64, max_deg));
+    GRB_TRY (GxB_Vector_load(
+        *rccs, (void **) &rcc, GrB_FP64, max_deg, max_deg * sizeof(double), 
+        GrB_DEFAULT, NULL)) ;
+    LG_FREE_WORK ;
+    return (GrB_SUCCESS) ;  
+    #else
+    printf ("RCC not implemented for GraphBLAS versions under 10\n") ;  
+    return (GrB_NOT_IMPLEMENTED) ;
+    #endif
+}
+#undef TIMINGS
diff --git a/experimental/test/include/LG_Xtest.h b/experimental/test/include/LG_Xtest.h
index e10ab150a8..dfb3883aa8 100644
--- a/experimental/test/include/LG_Xtest.h
+++ b/experimental/test/include/LG_Xtest.h
@@ -99,4 +99,11 @@ int LG_check_edgeBetweennessCentrality
     char *msg
 ) ;
 
+int LG_check_rcc
+(
+    GrB_Vector *rich_club_coefficents, //output
+    LAGraph_Graph G, //input graph
+    char *msg
+) ;
+
 #endif
diff --git a/experimental/test/test_RichClubCoefficient.c b/experimental/test/test_RichClubCoefficient.c
new file mode 100644
index 0000000000..28e7ddff0e
--- /dev/null
+++ b/experimental/test/test_RichClubCoefficient.c
@@ -0,0 +1,404 @@
+//----------------------------------------------------------------------------
+// LAGraph/src/test/test_RichClubCoefficient.c: test cases for 
+// LAGraph_RichClubCoefficient
+//----------------------------------------------------------------------------
+
+// LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.
+// SPDX-License-Identifier: BSD-2-Clause
+//
+// For additional details (including references to third party source code and
+// other files) see the LICENSE file or contact permission@sei.cmu.edu. See
+// Contributors.txt for a full list of contributors. Created, in part, with
+// funding and support from the U.S. Government (see Acknowledgments.txt file).
+// DM22-0790
+
+//-----------------------------------------------------------------------------
+
+// This program tests Rich Club Coefficient by comparing it to know values.
+
+#include <stdio.h>
+#include <acutest.h>
+#include <LAGraphX.h>
+#include <LAGraph_test.h>
+#include <LG_Xtest.h>
+#include <LG_test.h>
+
+char msg [LAGRAPH_MSG_LEN] ;
+
+GrB_Matrix A = NULL, C = NULL;
+GrB_Vector rcc = NULL, check_rcc = NULL ;
+LAGraph_Graph G = NULL ;
+
+#define LEN 512
+char filename [LEN+1] ;
+typedef struct
+{
+    double *rcc ; // for unweighted matchings, the size of the matching. For weighted, sum of edge weights
+    uint64_t n;
+    const char *name ;    // matrix file name
+}
+matrix_info ;
+
+double rcc1[] = {0.08489795918367347, 0.09042553191489362, 0.11806543385490754,
+0.15270935960591134, 0.17543859649122806, 0.18681318681318682,
+0.3333333333333333, 0.3333333333333333};
+
+double rcc2[] = {0.048040201005025124, 0.048040201005025124,
+0.04842393787117405, 0.04945054945054945, 0.05129490392648287,
+0.052702702702702706, 0.05523809523809524, 0.0613164184592756,
+0.06755555555555555, 0.07603960396039604, 0.08637747336377473,
+0.09183673469387756, 0.09090909090909091, 0.11578947368421053,
+0.15555555555555556, 0.16666666666666666, 0.0};
+
+double rcc3[] = {0.020418922066450775, 0.020418922066450775,
+0.020418922066450775, 0.020418922066450775, 0.020683173955750592,
+0.02150664338158559, 0.02150664338158559, 0.02150664338158559,
+0.02150664338158559, 0.021543516982986302, 0.02175414105479627,
+0.02177185436416472, 0.0218052051134787, 0.021857560922981484,
+0.02201878369318151, 0.022188402920223206, 0.022804582640104137,
+0.02498473901586159, 0.025249731948717845, 0.02596385205080857,
+0.027247042660294644, 0.027751420992800303, 0.028748882924051613,
+0.030170594138205473, 0.031102722135686933, 0.03269071555292726,
+0.03991334958028703, 0.04169452474008947, 0.04259653806582863,
+0.044304609453855226, 0.04526841567726286, 0.04650692548781721,
+0.049532888465204955, 0.05002586270597798, 0.05063092496587295,
+0.05300441583096034, 0.054629398879867785, 0.05653826181371855,
+0.059291297964366496, 0.06080825884426539, 0.06422637670884515,
+0.06768885564697083, 0.06889041561605802, 0.0701751819478477,
+0.07607985994153141, 0.07831153079788616, 0.07894806048652203,
+0.08038113301271196, 0.08207037795568796, 0.0836966039974926,
+0.08430976691170078, 0.08589112981595826, 0.08725832508207827,
+0.10235720633666719, 0.10276089969086451, 0.10358862936809705,
+0.10741510741510742, 0.1110049401354954, 0.11278770872986284,
+0.11678584477269169, 0.11817043607981033, 0.12116372726010276,
+0.1218450408924313, 0.12440239209741634, 0.12798272259582463,
+0.13977635782747605, 0.14573643410852713, 0.14652869744786873,
+0.1486150774302895, 0.15837726930369062, 0.158866930171278,
+0.16537043438184124, 0.16662279547249276, 0.1688366106970758,
+0.17170333945410973, 0.17634190936398067, 0.17711727724564694,
+0.17787300615583443, 0.1779243342906783, 0.17813492063492065,
+0.16556371804990588, 0.16556371804990588, 0.16556371804990588,
+0.16556371804990588, 0.16729064039408867, 0.1701346389228886,
+0.1989280560709132, 0.20149602618045817, 0.20475808607324245,
+0.16666666666666666, 0.16840882694541232, 0.17894736842105263,
+0.16666666666666666, 1.0} ;
+double rcc4[] = {0.0016506547800326698, 0.0017226315730560155, 
+    0.0034201182512489416, 0.0037033309852068028, 0.05405405405405406};
+const matrix_info tests [ ] =
+{
+    {rcc1, sizeof(rcc1) / sizeof(rcc1[0]), "random_unweighted_general1.mtx"},
+    {rcc2, sizeof(rcc2) / sizeof(rcc2[0]), "random_unweighted_general2.mtx"},
+    {rcc3, sizeof(rcc3) / sizeof(rcc3[0]), "bcsstk13.mtx"},
+    {rcc4, sizeof(rcc4) / sizeof(rcc4[0]), "test_FW_2500.mtx"},
+    {NULL, 0, ""}
+} ;
+
+const char *tests2 [ ] =
+{
+    "random_unweighted_general1.mtx",
+    "random_unweighted_general2.mtx",
+    "bcsstk13.mtx",
+    "bcsstk13_celeb.mtx",
+    "test_FW_1000.mtx",
+    "test_FW_2003.mtx",
+    "test_FW_2500.mtx",
+    ""
+} ;
+
+void test_RichClubCoefficient (void)
+{
+    //--------------------------------------------------------------------------
+    // start LAGraph
+    //--------------------------------------------------------------------------
+    OK (LAGraph_Init (msg)) ;
+    
+
+    for (int k = 0 ; ; k++)
+    {
+        //The following code taken from MIS tester
+        // load the matrix as A
+        const char *aname = tests [k].name;
+        if (strlen (aname) == 0) break;
+        TEST_CASE (aname) ;
+        snprintf (filename, LEN, LG_DATA_DIR "%s", aname) ;
+        FILE *f = fopen (filename, "r") ;
+        TEST_CHECK (f != NULL) ;
+        OK (LAGraph_MMRead (&A, f, msg)) ;
+        OK (fclose (f)) ;
+        TEST_MSG ("Loading of valued matrix failed") ;
+        printf ("\nMatrix: %s\n", aname) ;
+        const double *ans = tests [k].rcc;
+        const uint64_t n_ans = tests [k].n;
+
+        // C = structure of A
+        OK (LAGraph_Matrix_Structure (&C, A, msg)) ;
+        OK (GrB_free (&A)) ;
+
+        // construct a directed graph G with adjacency matrix C
+        OK (LAGraph_New (&G, &C, LAGraph_ADJACENCY_DIRECTED, msg)) ;
+        TEST_CHECK (C == NULL) ;
+
+        // check if the pattern is symmetric
+        OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;
+
+        if (G->is_symmetric_structure == LAGraph_FALSE)
+        {
+            // make the adjacency matrix symmetric
+            OK (LAGraph_Cached_AT (G, msg)) ;
+            OK (GrB_eWiseAdd (G->A, NULL, NULL, GrB_LOR, G->A, G->AT, NULL)) ;
+            G->is_symmetric_structure = LAGraph_TRUE ;
+        }
+        G->kind = LAGraph_ADJACENCY_UNDIRECTED ;
+
+        // check for self-edges
+        OK (LAGraph_Cached_NSelfEdges (G, msg)) ;
+        if (G->nself_edges != 0)
+        {
+            // remove self-edges
+            printf ("graph has %g self edges\n", (double) G->nself_edges) ;
+            OK (LAGraph_DeleteSelfEdges (G, msg)) ;
+            printf ("now has %g self edges\n", (double) G->nself_edges) ;
+            TEST_CHECK (G->nself_edges == 0) ;
+        }
+
+        // compute the row degree
+        OK (LAGraph_Cached_OutDegree (G, msg)) ;
+
+        //----------------------------------------------------------------------
+        // test the algorithm
+        //----------------------------------------------------------------------
+
+        printf ("RCC computation begins:\n") ;
+        GrB_set (GrB_GLOBAL, (int32_t) (true), GxB_BURBLE) ;
+        OK(LAGraph_RichClubCoefficient ( &rcc, G, msg));
+        printf("%s\n", msg);
+        GrB_set (GrB_GLOBAL, (int32_t) (false), GxB_BURBLE) ;
+        printf ("RCC computation ends:\n") ;
+
+        //----------------------------------------------------------------------
+        // check results
+        //----------------------------------------------------------------------
+        double comp_val = 0;
+        for(int64_t i = n_ans - 1; i >= 0; --i)
+        {
+            GrB_Vector_extractElement(&comp_val, rcc, i) ;
+            TEST_CHECK (
+                comp_val - ans[i] <= 1e-10 && ans[i] - comp_val <= 1e-10) ;
+        }
+        GxB_Vector_fprint (rcc, "rcc", GxB_SHORT, stdout);
+        OK (GrB_free (&rcc)) ;
+        OK (LAGraph_Delete (&G, msg)) ;
+    }
+
+    //--------------------------------------------------------------------------
+    // free everything and finalize LAGraph
+    //--------------------------------------------------------------------------
+    OK (LAGraph_Finalize (msg)) ;
+}
+
+void iseq(bool *z, const double *x, const double *y)
+{
+    (*z) = (isnan(*x) && isnan(*y)) ||*x == *y ;
+}
+//------------------------------------------------------------------------------
+// test RichClubCoefficient vs C code
+//------------------------------------------------------------------------------
+void test_RCC_Check (void)
+{
+    //--------------------------------------------------------------------------
+    // start LAGraph
+    //--------------------------------------------------------------------------
+    OK (LAGraph_Init (msg)) ;
+    GrB_BinaryOp iseqFP = NULL ;
+    OK (GrB_BinaryOp_new (
+        &iseqFP, (GxB_binary_function) iseq, GrB_BOOL, GrB_FP64, GrB_FP64)) ;
+    // OK (GxB_BinaryOp_new (
+    //     &iseqFP, (GxB_binary_function) iseq, 
+    //     GrB_BOOL, GrB_FP64, GrB_FP64, "iseq", ISEQ)) ;
+    for (int k = 0 ; ; k++)
+    {
+        //The following code taken from MIS tester
+        // load the matrix as A
+        const char *aname = tests2 [k];
+        if (strlen (aname) == 0) break;
+        TEST_CASE (aname) ;
+        snprintf (filename, LEN, LG_DATA_DIR "%s", aname) ;
+        FILE *f = fopen (filename, "r") ;
+        TEST_CHECK (f != NULL) ;
+        OK (LAGraph_MMRead (&A, f, msg)) ;
+        OK (fclose (f)) ;
+        TEST_MSG ("Loading of valued matrix failed") ;
+        printf ("\nMatrix: %s\n", aname) ;
+
+        // C = structure of A
+        OK (LAGraph_Matrix_Structure (&C, A, msg)) ;
+        OK (GrB_free (&A)) ;
+
+        // construct a directed graph G with adjacency matrix C
+        OK (LAGraph_New (&G, &C, LAGraph_ADJACENCY_DIRECTED, msg)) ;
+        TEST_CHECK (C == NULL) ;
+
+        // check if the pattern is symmetric
+        OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;
+
+        if (G->is_symmetric_structure == LAGraph_FALSE)
+        {
+            // make the adjacency matrix symmetric
+            OK (LAGraph_Cached_AT (G, msg)) ;
+            OK (GrB_eWiseAdd (G->A, NULL, NULL, GrB_LOR, G->A, G->AT, NULL)) ;
+            G->is_symmetric_structure = LAGraph_TRUE ;
+        }
+        G->kind = LAGraph_ADJACENCY_UNDIRECTED ;
+
+        // check for self-edges
+        OK (LAGraph_Cached_NSelfEdges (G, msg)) ;
+        if (G->nself_edges != 0)
+        {
+            // remove self-edges
+            printf ("graph has %g self edges\n", (double) G->nself_edges) ;
+            OK (LAGraph_DeleteSelfEdges (G, msg)) ;
+            printf ("now has %g self edges\n", (double) G->nself_edges) ;
+            TEST_CHECK (G->nself_edges == 0) ;
+        }
+
+        // compute the row degree
+        OK (LAGraph_Cached_OutDegree (G, msg)) ;
+
+        //----------------------------------------------------------------------
+        // test the algorithm
+        //----------------------------------------------------------------------
+
+        // GrB_set (GrB_GLOBAL, (int32_t) (true), GxB_BURBLE) ;
+        OK(LAGraph_RichClubCoefficient ( &rcc, G, msg));
+        // GrB_set (GrB_GLOBAL, (int32_t) (false), GxB_BURBLE) ;
+
+        OK(LG_check_rcc(&check_rcc, G, msg));
+        //----------------------------------------------------------------------
+        // check results
+        //----------------------------------------------------------------------
+        bool flag = false;
+        OK (LAGraph_Vector_IsEqualOp(&flag, rcc, check_rcc, iseqFP, msg)) ;
+        TEST_CHECK (flag) ;
+        GxB_Vector_fprint (rcc, "rcc", GxB_SHORT, stdout);
+        GxB_Vector_fprint (check_rcc, "check_rcc", GxB_SHORT, stdout);
+        OK (GrB_free (&rcc)) ;
+        OK (GrB_free (&check_rcc)) ;
+        OK (LAGraph_Delete (&G, msg)) ;
+    }
+
+    //--------------------------------------------------------------------------
+    // free everything and finalize LAGraph
+    //--------------------------------------------------------------------------
+    OK (GrB_free (&iseqFP)) ;
+    OK (LAGraph_Finalize (msg)) ;
+}
+//------------------------------------------------------------------------------
+// test_RCC_brutal:
+//------------------------------------------------------------------------------
+
+#if LAGRAPH_SUITESPARSE
+void test_rcc_brutal (void)
+{
+    //--------------------------------------------------------------------------
+    // start LAGraph
+    //--------------------------------------------------------------------------
+    OK (LG_brutal_setup (msg)) ;
+    
+
+    for (int k = 0 ; ; k++)
+    {
+        // load the matrix as A
+        const char *aname = tests [k].name;
+        if (strlen (aname) == 0) break;
+        TEST_CASE (aname) ;
+        snprintf (filename, LEN, LG_DATA_DIR "%s", aname) ;
+        FILE *f = fopen (filename, "r") ;
+        TEST_CHECK (f != NULL) ;
+        OK (LAGraph_MMRead (&A, f, msg)) ;
+        OK (fclose (f)) ;
+        TEST_MSG ("Loading of valued matrix failed") ;
+        printf ("\nMatrix: %s\n", aname) ;
+        const double *ans = tests [k].rcc;
+        const uint64_t n_ans = tests [k].n;
+
+        // C = structure of A
+        OK (LAGraph_Matrix_Structure (&C, A, msg)) ;
+        OK (GrB_free (&A)) ;
+
+        // construct a directed graph G with adjacency matrix C
+        OK (LAGraph_New (&G, &C, LAGraph_ADJACENCY_DIRECTED, msg)) ;
+        TEST_CHECK (C == NULL) ;
+
+        // check if the pattern is symmetric
+        OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;
+
+        if (G->is_symmetric_structure == LAGraph_FALSE)
+        {
+            // make the adjacency matrix symmetric
+            OK (LAGraph_Cached_AT (G, msg)) ;
+            OK (GrB_eWiseAdd (G->A, NULL, NULL, GrB_LOR, G->A, G->AT, NULL)) ;
+            G->is_symmetric_structure = LAGraph_TRUE ;
+        }
+        G->kind = LAGraph_ADJACENCY_UNDIRECTED ;
+
+        // check for self-edges
+        OK (LAGraph_Cached_NSelfEdges (G, msg)) ;
+        if (G->nself_edges != 0)
+        {
+            // remove self-edges
+            printf ("graph has %g self edges\n", (double) G->nself_edges) ;
+            OK (LAGraph_DeleteSelfEdges (G, msg)) ;
+            printf ("now has %g self edges\n", (double) G->nself_edges) ;
+            TEST_CHECK (G->nself_edges == 0) ;
+        }
+
+        // compute the row degree
+        OK (LAGraph_Cached_OutDegree (G, msg)) ;
+
+        LG_BRUTAL_BURBLE (LAGraph_CheckGraph (G, msg)) ;
+        //----------------------------------------------------------------------
+        // test the algorithm
+        //----------------------------------------------------------------------
+
+        printf ("RCC computation begins:\n") ;
+        // GrB_set (GrB_GLOBAL, (int32_t) (true), GxB_BURBLE) ;
+        LG_BRUTAL_BURBLE (LAGraph_RichClubCoefficient( &rcc, G, msg));
+        printf("%s\n", msg);
+        // GrB_set (GrB_GLOBAL, (int32_t) (false), GxB_BURBLE) ;
+        printf ("RCC computation ends:\n") ;
+
+        //----------------------------------------------------------------------
+        // check results
+        //----------------------------------------------------------------------
+        double comp_val = 0;
+        for(int64_t i = n_ans - 1; i >= 0; --i)
+        {
+            OK (GrB_Vector_extractElement(&comp_val, rcc, i)) ;
+            TEST_CHECK (fabs(comp_val - ans[i]) <= 1e-15) ;
+        }
+        OK (GrB_free (&rcc)) ;
+        OK (LAGraph_Delete (&G, msg)) ;
+    }
+
+    //--------------------------------------------------------------------------
+    // free everything and finalize LAGraph
+    //--------------------------------------------------------------------------
+    OK(LG_brutal_teardown(msg)) ;
+}
+#endif
+
+//----------------------------------------------------------------------------
+// the make program is created by acutest, and it runs a list of tests:
+//----------------------------------------------------------------------------
+
+TEST_LIST =
+{
+    {"RichClubCoefficient", test_RichClubCoefficient},
+    #if USING_GRAPHBLAS_V10
+    {"RichClubCoefficient_Check", test_RCC_Check},
+    #endif
+    #if LAGRAPH_SUITESPARSE
+    {"rcc_brutal", test_rcc_brutal},
+    #endif
+    {NULL, NULL}
+} ;
diff --git a/experimental/test/test_SwapEdges.c b/experimental/test/test_SwapEdges.c
new file mode 100644
index 0000000000..b9e6a5c729
--- /dev/null
+++ b/experimental/test/test_SwapEdges.c
@@ -0,0 +1,160 @@
+//----------------------------------------------------------------------------
+// LAGraph/src/test/test_SwapEdges.c: test cases for LAGraph_HelloWorld
+//----------------------------------------------------------------------------
+
+// LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.
+// SPDX-License-Identifier: BSD-2-Clause
+//
+// For additional details (including references to third party source code and
+// other files) see the LICENSE file or contact permission@sei.cmu.edu. See
+// Contributors.txt for a full list of contributors. Created, in part, with
+// funding and support from the U.S. Government (see Acknowledgments.txt file).
+// DM22-0790
+
+//-----------------------------------------------------------------------------
+
+
+
+#include <stdio.h>
+#include <acutest.h>
+#include <LAGraphX.h>
+#include <LG_internal.h>
+#include <LAGraph_test.h>
+#include <LG_Xtest.h>
+#include <LG_test.h>
+
+char msg [LAGRAPH_MSG_LEN] ;
+LAGraph_Graph G = NULL, G_new = NULL;
+GrB_Matrix A = NULL, C = NULL, A_new = NULL, C_new = NULL; 
+#define LEN 512
+char filename [LEN+1] ;
+
+const char* tests [ ] =
+{
+    "random_unweighted_general1.mtx",
+    "random_unweighted_general2.mtx",
+    "random_weighted_general1.mtx",
+    "random_weighted_general2.mtx",
+    "bcsstk13.mtx",
+    "test_FW_2500.mtx",
+    ""
+} ;
+void test_SwapEdges (void)
+{
+    #if USING_GRAPHBLAS_V10
+    //--------------------------------------------------------------------------
+    // start LAGraph
+    //--------------------------------------------------------------------------
+    OK (LAGraph_Init (msg)) ;
+
+    for (int k = 0 ; ; k++)
+    {
+        //The following code taken from MIS tester
+        // load the matrix as A
+        const char *aname = tests [k];
+        if (strlen (aname) == 0) break;
+        TEST_CASE (aname) ;
+        snprintf (filename, LEN, LG_DATA_DIR "%s", aname) ;
+        FILE *f = fopen (filename, "r") ;
+        TEST_CHECK (f != NULL) ;
+        OK (LAGraph_MMRead (&A, f, msg)) ;
+        OK (fclose (f)) ;
+        TEST_MSG ("Loading of valued matrix failed") ;
+        printf ("\nMatrix: %s\n", aname) ;
+
+        // C = structure of A
+        OK (LAGraph_Matrix_Structure (&C, A, msg)) ;
+        OK (GrB_free (&A)) ;
+
+        // construct a directed graph G with adjacency matrix C
+        OK (LAGraph_New (&G, &C, LAGraph_ADJACENCY_DIRECTED, msg)) ;
+        TEST_CHECK (C == NULL) ;
+
+        // check if the pattern is symmetric
+        OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;
+
+        if (G->is_symmetric_structure == LAGraph_FALSE)
+        {
+            // make the adjacency matrix symmetric
+            OK (LAGraph_Cached_AT (G, msg)) ;
+            OK (GrB_eWiseAdd (G->A, NULL, NULL, GrB_LOR, G->A, G->AT, NULL)) ;
+            G->is_symmetric_structure = LAGraph_TRUE ;
+        }
+        G->kind = LAGraph_ADJACENCY_UNDIRECTED ;
+
+        // check for self-edges
+        OK (LAGraph_Cached_NSelfEdges (G, msg)) ;
+        if (G->nself_edges != 0)
+        {
+            // remove self-edges
+            printf ("graph has %g self edges\n", (double) G->nself_edges) ;
+            OK (LAGraph_DeleteSelfEdges (G, msg)) ;
+            printf ("now has %g self edges\n", (double) G->nself_edges) ;
+            TEST_CHECK (G->nself_edges == 0) ;
+        }
+
+        // compute the row degree
+        GrB_Index n = 0;
+        OK (LAGraph_Cached_OutDegree (G, msg)) ;
+        OK (GrB_Matrix_nrows(&n, G->A));
+        for (int jit = 0 ; jit <= 1 ; jit++)
+        {
+            OK (GxB_Global_Option_set (GxB_JIT_C_CONTROL,
+                jit ? GxB_JIT_ON : GxB_JIT_OFF)) ;
+
+            //------------------------------------------------------------------
+            // test the algorithm
+            //------------------------------------------------------------------
+            // GrB_set (GrB_GLOBAL, (int32_t) (true), GxB_BURBLE) ;
+            OK(LAGraph_SwapEdges( &A_new, G, (GrB_Index) 100, msg));
+            // GrB_set (GrB_GLOBAL, (int32_t) (false), GxB_BURBLE) ;
+            printf ("Test ends:\n") ;
+            printf ("%s\n", msg) ;
+
+            //------------------------------------------------------------------
+            // check results
+            //------------------------------------------------------------------
+            bool ok = false;
+            //Make sure we got a symetric back out:
+            OK (LAGraph_New (&G_new, &A_new, LAGraph_ADJACENCY_DIRECTED, msg)) ;
+            OK (LAGraph_Cached_AT (G_new, msg)) ;
+            OK (LAGraph_Matrix_IsEqual (&ok, G_new->AT, G_new->A, msg)) ;
+            TEST_CHECK (ok) ;
+                    
+            //Make sure no self edges created.
+            OK (LAGraph_Cached_NSelfEdges (G_new, msg)) ;
+            TEST_CHECK (G_new->nself_edges == 0);
+
+            // Check nvals stay the same. 
+            GrB_Index edge_count, new_edge_count;
+            OK (GrB_Matrix_nvals(&edge_count, G->A)) ;
+            OK (GrB_Matrix_nvals(&new_edge_count, G_new->A)) ;
+            printf("old: %ld, new: %ld", edge_count,new_edge_count);
+            TEST_CHECK(edge_count == new_edge_count);
+            //next: check degrees stay the same.
+            OK (LAGraph_Cached_OutDegree (G_new, msg)) ;
+
+            OK (LAGraph_Vector_IsEqual (
+                &ok, G->out_degree, G_new->out_degree, msg)) ;
+            TEST_CHECK (ok) ;
+            OK (LAGraph_Delete (&G_new, msg)) ;
+        }
+        OK (LAGraph_Delete (&G, msg)) ;
+    }
+
+    //--------------------------------------------------------------------------
+    // free everything and finalize LAGraph
+    //--------------------------------------------------------------------------
+    LAGraph_Finalize (msg) ;
+    #endif
+}
+
+//----------------------------------------------------------------------------
+// the make program is created by acutest, and it runs a list of tests:
+//----------------------------------------------------------------------------
+
+TEST_LIST =
+{
+    {"SwapEdges", test_SwapEdges},   
+    {NULL, NULL}
+} ;
diff --git a/experimental/utility/LAGraph_FastAssign.c b/experimental/utility/LAGraph_FastAssign.c
new file mode 100755
index 0000000000..1a12915f38
--- /dev/null
+++ b/experimental/utility/LAGraph_FastAssign.c
@@ -0,0 +1,270 @@
+
+//------------------------------------------------------------------------------
+// LAGraph_Fast_Build: Uses saxpy methods for faster builds, especially powerful
+// when output is bitmap.
+//------------------------------------------------------------------------------
+
+// LAGraph, (c) 2019-2024 by The LAGraph Contributors, All Rights Reserved.
+// SPDX-License-Identifier: BSD-2-Clause
+//
+// For additional details (including references to third party source code and
+// other files) see the LICENSE file or contact permission@sei.cmu.edu. See
+// Contributors.txt for a full list of contributors. Created, in part, with
+// funding and support from the U.S. Government (see Acknowledgments.txt file).
+// DM22-0790
+
+// Contributed by Gabriel Gomez, Texas A&M University
+
+//------------------------------------------------------------------------------
+
+// This method is allows for assigns or build into a vector. It is created to 
+// target some specific mxv GraphBLAS methods that occasionally tend to be 
+// faster than both build and assign. 
+
+// This method is used for cases where you want to build a vector equivilent to 
+// the following for loop:
+//      for (j = 0 ; j < n ; j++)
+//      {
+//          uint64_t i = I_vec [j] ;
+//          c [i] += X_vec [j] ;
+//      }
+
+// It is fastest when the accum biop is equivalent to the dup moniod and c is a 
+// full vector or when there is no accumulator and I_vec.nvals is 
+// sufficiently large when compared to c.nrows. 
+
+// It builds a matix P which is coustructed in O(1) time if a 
+// filled ramp vector is passed in. 
+
+// P is built by column and will contain one entry per column placed at row 
+// I_vec [j]. So, P*X_vec will find for every row the intersections with X_vec,
+// apply the dup monoid and put the result with the accumulator back into c at 
+// that row. 
+
+// X_vec can be sparse if dup is a semiring (dup_second), in which case the jth
+// column correspoding to an empty X_vec[j] have no effect on the outcome.
+
+// desc can also be modified to affect the mask or to pass in GRB_TRAN for
+// GrB_INP0, this has some interesting usecases, specifically when X_vec is a 
+// "map". That is:
+// LAGraph_FastAssign(c, NULL, NULL, I_vec, map, NULL, any_second, NULL, msg)
+// is equivalent to:
+//      for (j = 0 ; j < n ; j++)
+//      {
+//          c [j] = map[I_vec[j]] ;
+//      }
+// Currently, this is not implemented for LAGraph_FastAssign_Monoid so a 
+// semiring must be passed in.
+
+
+#include "LG_internal.h"
+#include "LAGraphX.h"
+#if USING_GRAPHBLAS_V10
+
+// Uncomment if you would like to use the monoid version of FastAssign.
+// Passing in a semiring is faster but this may be more convienient.
+#if 0
+#undef LG_FREE_ALL
+#define LG_FREE_ALL                                           \
+{                                                             \
+    GrB_free(&sem);                                           \
+}                                                     
+
+int LAGraph_FastAssign_Monoid
+(
+    // output
+    // Vector to be built (or assigned): initialized with correct dimensions.
+    GrB_Vector c, 
+    // inputs
+    const GrB_Vector mask,
+    const GrB_BinaryOp accum, 
+    const GrB_Vector I_vec, // Indecies  (duplicates allowed)
+    const GrB_Vector X_vec, // Values
+    // Optional (Give me a ramp with size > X_vec.size for faster calculations) 
+    const GrB_Vector ramp, 
+    const GrB_Monoid dup, // Applied to duplicates
+    const GrB_Descriptor desc,
+    char *msg
+)
+{
+    GrB_BinaryOp op = NULL;
+    GrB_Semiring sem = NULL;
+    int code = 0;
+    GrB_get(X_vec, &code, GrB_EL_TYPE_CODE);
+    switch (code)
+    {
+        case GrB_BOOL_CODE   : op = GrB_SECOND_BOOL   ; break ;
+        case GrB_INT8_CODE   : op = GrB_SECOND_INT8   ; break ;
+        case GrB_INT16_CODE  : op = GrB_SECOND_INT16  ; break ;
+        case GrB_INT32_CODE  : op = GrB_SECOND_INT32  ; break ;
+        case GrB_INT64_CODE  : op = GrB_SECOND_INT64  ; break ;
+        case GrB_UINT8_CODE  : op = GrB_SECOND_UINT8  ; break ;
+        case GrB_UINT16_CODE : op = GrB_SECOND_UINT16 ; break ;
+        case GrB_UINT32_CODE : op = GrB_SECOND_UINT32 ; break ;
+        case GrB_UINT64_CODE : op = GrB_SECOND_UINT64 ; break ;
+        case GrB_FP32_CODE   : op = GrB_SECOND_FP32   ; break ;
+        case GrB_FP64_CODE   : op = GrB_SECOND_FP64   ; break ;
+        case GxB_FC32_CODE   : op = GxB_SECOND_FC32   ; break ;
+        case GxB_FC64_CODE   : op = GxB_SECOND_FC64   ; break ;
+        default : 
+            LG_ERROR_MSG("LAGraph failed (file %s, line %d):" \
+            " LAGraph_FastAssign_Monoid not implemented for UDTs", 
+            __FILE__, __LINE__);
+            break ;
+    }
+    GRB_TRY (GrB_Semiring_new(&sem, dup, op)) ;
+    // GxB_print(sem, stdout) ;
+    LG_TRY (LAGraph_FastAssign_Semiring 
+        (c, mask, accum, I_vec, X_vec, ramp, sem, desc, msg)) ;
+    LG_FREE_ALL ;
+    return (GrB_SUCCESS);
+}
+#endif
+
+#undef LG_FREE_ALL
+#define LG_FREE_ALL                                           \
+{                                                             \
+    GrB_free(&P);                                             \
+    GrB_free(&con);                                           \
+    LAGraph_Free(&ramp_a, msg);                               \
+    LAGraph_Free(&i_a, msg);                                  \
+}                                                     
+
+// This method can be faster if given a builtin semiring. 
+int LAGraph_FastAssign_Semiring
+(
+    // output
+    // Vector to be built (or assigned): initialized with correct dimensions.
+    GrB_Vector c, 
+    // inputs
+    const GrB_Vector mask,
+    const GrB_BinaryOp accum, 
+    const GrB_Vector I_vec, // Indecies  (duplicates allowed)
+    const GrB_Vector X_vec, // Values
+    // Optional (Give me a ramp with size > X_vec.size for faster calculations) 
+    const GrB_Vector ramp, 
+    // monoid is applied to duplicates. Binary op should be SECOND.
+    const GrB_Semiring semiring, 
+    const GrB_Descriptor desc,
+    char *msg
+)
+{
+    // TODO: Let indicies be specified by value of by index in I_vec via 
+    // descriptor (although build or assign would be better if I_vec is by 
+    // index since it is sorted and has no dups). By value could be useful if 
+    // I_vec is not full.
+    // TODO: Ditto for X_vec
+
+    GrB_Matrix P = NULL;
+    int64_t n, nrows;
+    GxB_Container con = NULL;
+    void *ramp_a = NULL, *i_a =NULL;
+    int ramp_h = GrB_DEFAULT, trsp = GrB_DEFAULT, i_h = GrB_DEFAULT;
+    int64_t ramp_n = 0, ramp_size = 0, i_n = 0, i_size= 0;
+    GrB_Type x_type = NULL, i_type = NULL, ramp_type = NULL;
+    bool iso = false;
+    //----------------------------------------------------------------------
+    // Check inputs
+    //----------------------------------------------------------------------
+    //TODO: assert inputs are full or desc says to use by value etc.
+    LG_ASSERT (c != NULL, GrB_NULL_POINTER) ;
+    LG_ASSERT (I_vec != NULL, GrB_NULL_POINTER) ;
+    LG_ASSERT (X_vec != NULL, GrB_NULL_POINTER) ;
+    LG_ASSERT_MSG (c != X_vec && c != I_vec && c != ramp && c != mask, 
+        GrB_NOT_IMPLEMENTED, "c cannot be aliased with any input.") ; 
+
+    //----------------------------------------------------------------------
+    // Find dimensions and type
+    //----------------------------------------------------------------------
+    GRB_TRY (GrB_Vector_size(&n, I_vec)) ;
+
+    if(desc != NULL)
+    {
+        GRB_TRY (GrB_get(desc, &trsp, GrB_INP0)) ;
+    }
+    if(trsp == GrB_TRAN)
+    {
+        GRB_TRY (GrB_Vector_size(&nrows, X_vec)) ;
+    }
+    else 
+    {
+        GRB_TRY (GrB_Vector_size(&nrows, c)) ;
+    }
+
+    GRB_TRY (GrB_Vector_get_INT32(X_vec, (int32_t *) &iso, GxB_ISO)) ;
+
+    GRB_TRY (GxB_Vector_type(&x_type, X_vec));
+
+    //----------------------------------------------------------------------
+    // Load up containers
+    //----------------------------------------------------------------------
+    GRB_TRY (GrB_Matrix_new(&P, GrB_BOOL, nrows, n));
+    GRB_TRY (GxB_Container_new(&con));
+
+    if(ramp == NULL)
+    {
+        //FUTURE: maybe let user input a size 0 ramp and build it for them?
+        GRB_TRY (GrB_free(&(con->p))) ;
+        ramp_type = (n + 1 <= INT32_MAX)? GrB_UINT32: GrB_UINT64;
+        GrB_IndexUnaryOp idxnum = (n + 1 <= INT32_MAX)? 
+                GrB_ROWINDEX_INT32: GrB_ROWINDEX_INT64;
+        GRB_TRY (GrB_Vector_new(&(con->p), ramp_type, n + 1));
+        GRB_TRY (GrB_assign (con->p, NULL, NULL, 0, GrB_ALL, 0, NULL)) ;
+        GRB_TRY (GrB_apply (con->p, NULL, NULL, idxnum, con->p, 0, NULL)) ;
+    }
+    else
+    {
+        GRB_TRY (GxB_Vector_unload(
+            ramp, &ramp_a, &ramp_type, &ramp_n, &ramp_size, &ramp_h, NULL)) ;
+        LG_ASSERT_MSG (ramp_n > n, GrB_DIMENSION_MISMATCH, "Ramp too small!");
+        GRB_TRY (GxB_Vector_load(
+            con->p, &ramp_a, ramp_type, n + 1, ramp_size,
+            GxB_IS_READONLY, NULL)) ;
+        // Since con->p won't free this array I should be safe to load it back 
+        // into ramp.
+        GRB_TRY (GxB_Vector_load(
+            ramp, &ramp_a, ramp_type, ramp_n, ramp_size, ramp_h, NULL)) ;
+        ramp_a = NULL;
+    }
+    // con->i = I_vec;
+    GRB_TRY (GxB_Vector_unload(
+        I_vec, &i_a, &i_type, &i_n, &i_size, &i_h, NULL)) ;
+    GRB_TRY (GxB_Vector_load(
+        con->i, &i_a, i_type, i_n, i_size, GxB_IS_READONLY, NULL)) ;
+    // Since con->i won't free this array I should be safe to load it back 
+    // into I_vec.
+    GRB_TRY (GxB_Vector_load(
+        I_vec, &i_a, i_type, i_n, i_size, i_h, NULL)) ;
+    i_a = NULL;
+
+    // con->x [0] = false, of length 1
+    GRB_TRY (GrB_free(&(con->x))) ;
+    GRB_TRY (GrB_Vector_new (&(con->x), GrB_BOOL, 1)) ;
+    GRB_TRY (GrB_assign (con->x, NULL, NULL, 0, GrB_ALL, 1, NULL)) ;
+    con->format = GxB_SPARSE;
+    con->orientation = GrB_COLMAJOR;
+    con->nrows = nrows;
+    con->ncols = n ;
+    con->nvals = n ;
+    con->nrows_nonempty = -1 ;
+    con->ncols_nonempty = n ;
+    con->iso = true ;
+    con->jumbled = false ;
+    con->format = GxB_SPARSE ;
+    con->orientation = GrB_COLMAJOR ;
+    con->Y = NULL ;
+    //----------------------------------------------------------------------
+    // Load P and do the mxv
+    //----------------------------------------------------------------------
+    GRB_TRY (GxB_load_Matrix_from_Container(P, con, NULL));
+    // GRB_TRY (GxB_fprint(P, GxB_SHORT, stdout));
+    GRB_TRY (GrB_mxv(c, mask, accum, semiring, P, X_vec, desc));
+    //----------------------------------------------------------------------
+    // Free work. 
+    // Note: this does not free inputs since they are marked GxB_IS_READONLY
+    //----------------------------------------------------------------------
+    GrB_free(&P) ;
+    GrB_free(&con) ;
+    return (GrB_SUCCESS) ;
+}
+#endif
diff --git a/include/LAGraphX.h b/include/LAGraphX.h
index 3cc23d4a11..8b166b58f2 100644
--- a/include/LAGraphX.h
+++ b/include/LAGraphX.h
@@ -260,6 +260,43 @@ int LAGraph_Incidence_Matrix
     char *msg
 ) ;
 
+LAGRAPHX_PUBLIC
+int LAGraph_FastAssign_Monoid
+(
+    // output
+    // Vector to be built (or assigned): initialized with correct dimensions.
+    GrB_Vector c, 
+    // inputs
+    const GrB_Vector mask,
+    const GrB_BinaryOp accum, 
+    const GrB_Vector I_vec, // Indecies  (duplicates allowed)
+    const GrB_Vector X_vec, // Values
+    // Optional (Give me a ramp with size > x.size for faster calculations) 
+    const GrB_Vector ramp, 
+    const GrB_Monoid dup, // Applied to duplicates
+    const GrB_Descriptor desc,
+    char *msg
+) ;
+
+LAGRAPHX_PUBLIC
+int LAGraph_FastAssign_Semiring
+(
+    // output
+    // Vector to be built (or assigned): initialized with correct dimensions.
+    GrB_Vector c, 
+    // inputs
+    const GrB_Vector mask,
+    const GrB_BinaryOp accum, 
+    const GrB_Vector I_vec, // Indecies  (duplicates allowed)
+    const GrB_Vector X_vec, // Values
+    // Optional (Give me a ramp with size > x.size for faster calculations) 
+    const GrB_Vector ramp, 
+    // monoid is applied to duplicates. Binary op should be SECOND.
+    const GrB_Semiring dup, 
+    const GrB_Descriptor desc,
+    char *msg
+) ;
+
 //****************************************************************************
 // Algorithms
 //****************************************************************************
@@ -1356,6 +1393,41 @@ int LAGr_MaximumMatching(
                    // the columns' or from the rows' perspective, ignored if
                    // mate_init is NULL
     char *msg);
+//------------------------------------------------------------------------------
+// LAGraph_RichClubCoefficient: Compute Rich Club Coefficient of Graph
+//------------------------------------------------------------------------------
+
+LAGRAPHX_PUBLIC
+int LAGraph_RichClubCoefficient
+(
+    GrB_Vector *rich_club_coefficents, //output
+    LAGraph_Graph G, //input graph
+    char *msg
+) ;
+
+//------------------------------------------------------------------------------
+// LAGraph_SwapEdges: Randomize Graph while maintaining degree sequence. 
+//------------------------------------------------------------------------------
+LAGRAPHX_PUBLIC
+int LAGraph_SwapEdges
+(
+    // output
+    GrB_Matrix *A_new, //The adjacency matrix of G with edges randomly swapped
+    // input: not modified
+    LAGraph_Graph G,
+    GrB_Index Q, // Swaps per edge
+    char *msg
+) ;
+
+LAGRAPHX_PUBLIC
+int LG_CC_FastSV7_FA // SuiteSparse:GraphBLAS method, with GxB extensions
+(
+    // output:
+    GrB_Vector *component,  // component(i)=r if node is in the component r
+    // input:
+    LAGraph_Graph G,        // input graph (modified then restored)
+    char *msg
+) ;
 
 LAGRAPH_PUBLIC
 int LAGr_BreadthFirstSearch_Extended
diff --git a/papers/GOMEZ-FINALTHESIS-2025.pdf b/papers/GOMEZ-FINALTHESIS-2025.pdf
new file mode 100644
index 0000000000..3c6ea3b9e1
Binary files /dev/null and b/papers/GOMEZ-FINALTHESIS-2025.pdf differ
diff --git a/src/algorithm/LG_CC_FastSV7.c b/src/algorithm/LG_CC_FastSV7.c
index 6be2c337c9..3245dbcbf9 100644
--- a/src/algorithm/LG_CC_FastSV7.c
+++ b/src/algorithm/LG_CC_FastSV7.c
@@ -54,14 +54,6 @@
 #define LG_FREE_ALL ;
 #include "LG_internal.h"
 
-#define USING_GRAPHBLAS_V10 0
-#if LAGRAPH_SUITESPARSE
-    #if GxB_IMPLEMENTATION >= GxB_VERSION (10,0,0)
-        #undef  USING_GRAPHBLAS_V10
-        #define USING_GRAPHBLAS_V10 1
-    #endif
-#endif
-
 double timings [16] ;
 
 #if USING_GRAPHBLAS_V10
diff --git a/src/benchmark/cc_demo.c b/src/benchmark/cc_demo.c
index 5fa381408c..1e9701028d 100644
--- a/src/benchmark/cc_demo.c
+++ b/src/benchmark/cc_demo.c
@@ -334,6 +334,38 @@ int main (int argc, char **argv)
     }
 #endif
 
+    //--------------------------------------------------------------------------
+    // LG_CC_FastSV7_FA
+    //--------------------------------------------------------------------------
+#if 0
+    for (int trial = 1 ; trial <= nt ; trial++)
+    {
+        int nthreads = Nthreads [trial] ;
+        if (nthreads > nthreads_max) continue ;
+        LAGRAPH_TRY (LAGraph_SetNumThreads (1, nthreads, NULL)) ;
+        double ttt = 0 ;
+        int ntrials = NTRIALS ;
+        for (int k = 0 ; k < ntrials ; k++)
+        {
+            GrB_free (&components2) ;
+            double ttrial = LAGraph_WallClockTime ( ) ;
+            LAGRAPH_TRY (LG_CC_FastSV7_FA (&components2, G, msg)) ;
+            ttrial = LAGraph_WallClockTime ( ) - ttrial ;
+            ttt += ttrial ;
+            printf ("FastSV7_FA:     nthreads: %2d trial: %2d time: %10.4f sec\n",
+                nthreads, k, ttrial) ;
+            GrB_Index nCC2 = countCC (components2, n) ;
+            if (nCC != nCC2) printf ("failure! %g %g diff %g\n",
+                (double) nCC, (double) nCC2, (double) (nCC-nCC2)) ;
+        }
+        ttt = ttt / ntrials ;
+        printf ("FastSV7_FA:     nthreads: %2d Avg: time: %10.4f sec ntrials %d\n\n",
+                nthreads, ttt, ntrials) ;
+        fprintf (stderr,
+                "FastSV7_FA:     nthreads: %2d Avg: time: %10.4f sec ntrials %d\n",
+                nthreads, ttt, ntrials) ;
+    }
+#endif
     //--------------------------------------------------------------------------
     // free all workspace and finish
     //--------------------------------------------------------------------------
diff --git a/src/test/test_ConnectedComponents.c b/src/test/test_ConnectedComponents.c
index 5d37a54a6a..caefcf2a89 100644
--- a/src/test/test_ConnectedComponents.c
+++ b/src/test/test_ConnectedComponents.c
@@ -146,6 +146,12 @@ void test_cc_matrices (void)
 
             // find the connected components with LG_CC_FastSV7
             #if GxB_IMPLEMENTATION >= GxB_VERSION (10,0,0)
+            printf ("\n------ LG_CC_FastSV7_FA:\n") ;
+            OK (LG_CC_FastSV7_FA (&C2, G, msg)) ;
+            ncomponents = count_connected_components (C2) ;
+            TEST_CHECK (ncomponents == ncomp) ;
+            OK (LG_check_cc (C2, G, msg)) ;
+            OK (GrB_free (&C2)) ;
             printf ("\n------ CC_FastSV7:\n") ;
             OK (LG_CC_FastSV7 (&C2, G, msg)) ;
             ncomponents = count_connected_components (C2) ;
@@ -153,10 +159,14 @@ void test_cc_matrices (void)
             OK (LG_check_cc (C2, G, msg)) ;
             OK (GrB_free (&C2)) ;
             #else
-            printf ("\n------ CC_FastSV7: requires SS:GrB v10.0.0 or later\n") ;
-            int result7 = LG_CC_FastSV7 (&C2, G, msg) ;
+            printf ("\n------ CC_FastSV7_FA: requires SS:GrB v10.0.0 or later\n") ;
+            int result7 = LG_CC_FastSV7_FA (&C2, G, msg) ;
             TEST_CHECK (result7 == GrB_NOT_IMPLEMENTED) ;
             TEST_CHECK (C2 == NULL) ;
+            printf ("\n------ CC_FastSV7: requires SS:GrB v10.0.0 or later\n") ;
+            int result8 = LG_CC_FastSV7 (&C2, G, msg) ;
+            TEST_CHECK (result8 == GrB_NOT_IMPLEMENTED) ;
+            TEST_CHECK (C2 == NULL) ;
             #endif
 
             #endif
@@ -216,7 +226,12 @@ void test_cc_errors (void)
     #if LAGRAPH_SUITESPARSE
     result = LG_CC_FastSV6 (NULL, NULL, msg) ;
     TEST_CHECK (result == GrB_NULL_POINTER) ;
+    #if GxB_IMPLEMENTATION >= GxB_VERSION (10,0,0)
+    result = LG_CC_FastSV7_FA (NULL, NULL, msg) ;
+    TEST_CHECK (result == GrB_NULL_POINTER) ;
     #endif
+    #endif
+
 
     // load a valid matrix
     FILE *f = fopen (LG_DATA_DIR "LFAT5_two.mtx", "r") ;
@@ -235,6 +250,11 @@ void test_cc_errors (void)
     result = LG_CC_FastSV6 (&C, G, msg) ;
     TEST_CHECK (result == -1001) ;
     printf ("result expected: %d msg:\n%s\n", result, msg) ;
+    #if GxB_IMPLEMENTATION >= GxB_VERSION (10,0,0)
+    result = LG_CC_FastSV7_FA (&C, G, msg) ;
+    TEST_CHECK (result == -1001) ;
+    printf ("result expected: %d msg:\n%s\n", result, msg) ;
+    #endif
     #endif
 
     OK (LAGraph_Delete (&G, msg)) ;
@@ -268,7 +288,13 @@ void test_cc_brutal (void)
     // find the connected components
     printf ("\n--- CC: FastSV6/7 if SuiteSparse, Boruvka if vanilla:\n") ;
     LG_BRUTAL_BURBLE (LAGr_ConnectedComponents (&C, G, msg)) ;
-//  printf ("\nSV6/7 test result, parent vector:\n") ;
+
+    #if GxB_IMPLEMENTATION >= GxB_VERSION (10,0,0)
+    OK (GrB_free (&C)) ;
+    printf ("\n--- CC: FastSV7_FA\n") ;
+    LG_BRUTAL_BURBLE (LG_CC_FastSV7_FA (&C, G, msg)) ;
+    #endif
+    //  printf ("\nSV6/7 test result, parent vector:\n") ;
 //  LG_BRUTAL_BURBLE (LAGraph_Vector_Print (C, LAGraph_SHORT, stdout, msg)) ;
 
     // count the # of connected components
diff --git a/src/utility/LG_internal.h b/src/utility/LG_internal.h
index 87d846ab49..ea64efa107 100644
--- a/src/utility/LG_internal.h
+++ b/src/utility/LG_internal.h
@@ -272,6 +272,17 @@ typedef unsigned char LG_void ;
 
 #endif
 
+// GraphBLAS version 10 flag
+#if LAGRAPH_SUITESPARSE 
+    #if GxB_IMPLEMENTATION >= GxB_VERSION (10,0,0)
+        #define USING_GRAPHBLAS_V10 1
+    #else
+        #define USING_GRAPHBLAS_V10 0
+    #endif
+#else
+    #define USING_GRAPHBLAS_V10 0
+#endif
+
 //------------------------------------------------------------------------------
 // LG_Multiply_size_t:  c = a*b but check for overflow
 //------------------------------------------------------------------------------