File: igraph_maximal_cliques.c

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/* -*- mode: C -*-  */
/* 
   IGraph library.
   Copyright (C) 2010-2012  Gabor Csardi <csardi.gabor@gmail.com>
   334 Harvard st, Cambridge MA, 02139 USA
   
   This program is free software; you can redistribute it and/or modify
   it under the terms of the GNU General Public License as published by
   the Free Software Foundation; either version 2 of the License, or
   (at your option) any later version.
   
   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.
   
   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 
   02110-1301 USA

*/

#include <igraph.h>

#define NODES 1000
#define CLIQUE_SIZE 10
#define NO_CLIQUES 10
#define INT(a) (igraph_rng_get_integer(igraph_rng_default(), 0, (a)))

int permutation(igraph_vector_t *vec) {
  int i, r, tmp;
  for (i=0; i<CLIQUE_SIZE; i++) {
    r=INT(NODES-1);
    tmp=VECTOR(*vec)[i];
    VECTOR(*vec)[i]=VECTOR(*vec)[r];
    VECTOR(*vec)[r]=tmp;
  }
  return 0;
}

int sort_cmp(const void *a, const void *b) {
  const igraph_vector_t **da = (const igraph_vector_t **) a;
  const igraph_vector_t **db = (const igraph_vector_t **) b;
  int i, alen=igraph_vector_size(*da), blen=igraph_vector_size(*db);
  if (alen != blen) { return (alen < blen) - (alen > blen); }
  for (i=0; i<alen; i++) {
    int ea=VECTOR(**da)[i], eb=VECTOR(**db)[i];
    if (ea != eb) { return (ea > eb) - (ea < eb); }
  }
  return 0;
}

void sort_cliques(igraph_vector_ptr_t *cliques) {
  int i, n=igraph_vector_ptr_size(cliques);
  for (i=0; i<n; i++) {
    igraph_vector_t *v=VECTOR(*cliques)[i];
    igraph_vector_sort(v);
  }
  igraph_qsort(VECTOR(*cliques), (size_t) n,
	       sizeof(igraph_vector_t *), sort_cmp);
}

void print_and_destroy_cliques(igraph_vector_ptr_t *cliques) {
  int i;
  sort_cliques(cliques);
  for (i=0; i<igraph_vector_ptr_size(cliques); i++) {
    igraph_vector_t *v=VECTOR(*cliques)[i];
    igraph_vector_print(v);
    igraph_vector_destroy(v);
    igraph_free(v);
  }
}

int main() {
  
  igraph_t g, g2, cli;
  igraph_vector_t perm;
  igraph_vector_ptr_t cliques;
  igraph_integer_t no;
  int i;

  igraph_rng_seed(igraph_rng_default(), 42);
  
  /* Create a graph that has a random component, plus a number of 
     relatively small cliques */
  
  igraph_vector_init_seq(&perm, 0, NODES-1);
  igraph_erdos_renyi_game(&g, IGRAPH_ERDOS_RENYI_GNM, NODES, NODES, 
        /*directed=*/ 0, /*loops=*/ 0);
  igraph_full(&cli, CLIQUE_SIZE, /*directed=*/ 0, /*loops=*/ 0);

  for (i=0; i<NO_CLIQUES; i++) {
    /* Permute vertices of g */
    permutation(&perm);
    igraph_permute_vertices(&g, &g2, &perm);
    igraph_destroy(&g);
    g=g2;
    
    /* Add a clique */
    igraph_union(&g2, &g, &cli, /*edge_map1=*/ 0, /*edge_map2=*/ 0);
    igraph_destroy(&g);
    g=g2;
  }
  igraph_simplify(&g, /*multiple=*/ 1, /*loop=*/ 0, /*edge_comb=*/ 0);
  
  igraph_vector_destroy(&perm);
  igraph_destroy(&cli);
  
  /* Find the maximal cliques */
  
  igraph_vector_ptr_init(&cliques, 0);
  igraph_maximal_cliques(&g, &cliques, /*min_size=*/ 3,
       /*max_size=*/ 0 /*no limit*/);
  igraph_maximal_cliques_count(&g, &no, /*min_size=*/ 3, 
       /*max_size=*/ 0 /*no limit*/);

  if (no != igraph_vector_ptr_size(&cliques)) { return 1; }
  
  /* Print and destroy them */

  print_and_destroy_cliques(&cliques);
  
  /* Clean up */

  igraph_vector_ptr_destroy(&cliques);
  igraph_destroy(&g);

  /* Build a triangle with a loop (thanks to Emmanuel Navarro) */

  igraph_small(&g, 3, IGRAPH_UNDIRECTED, 0, 1, 1, 2, 2, 0, 0, 0, -1);

  /* Find the maximal cliques */

  igraph_vector_ptr_init(&cliques, 0);
  igraph_maximal_cliques(&g, &cliques, /*min_size=*/ 3,
    /*max_size=*/ 0 /*no limit*/);
  igraph_maximal_cliques_count(&g, &no, /*min_size=*/ 3, 
       /*max_size=*/ 0 /*no limit*/);

  if (no != igraph_vector_ptr_size(&cliques)) { return 2; }

  /* Print and destroy them */

  print_and_destroy_cliques(&cliques);
  
  /* Clean up */

  igraph_vector_ptr_destroy(&cliques);
  igraph_destroy(&g);

  return 0;
}