clustering_coefficient.cpp 3.2 KB

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  1. // (C) Copyright 2007-2009 Andrew Sutton
  2. //
  3. // Use, modification and distribution are subject to the
  4. // Boost Software License, Version 1.0 (See accompanying file
  5. // LICENSE_1_0.txt or http://www.boost.org/LICENSE_1_0.txt)
  6. #include <iostream>
  7. #include <boost/graph/undirected_graph.hpp>
  8. #include <boost/graph/directed_graph.hpp>
  9. #include <boost/graph/exterior_property.hpp>
  10. #include <boost/graph/clustering_coefficient.hpp>
  11. using namespace std;
  12. using namespace boost;
  13. // number of vertices in the graph
  14. static const unsigned N = 5;
  15. template <typename Graph>
  16. struct vertex_vector
  17. {
  18. typedef graph_traits<Graph> traits;
  19. typedef vector<typename traits::vertex_descriptor> type;
  20. };
  21. template <typename Graph>
  22. void build_graph(Graph& g, typename vertex_vector<Graph>::type& v)
  23. {
  24. // add vertices
  25. for(size_t i = 0; i < N; ++i) {
  26. v[i] = add_vertex(g);
  27. }
  28. // add edges
  29. add_edge(v[0], v[1], g);
  30. add_edge(v[1], v[2], g);
  31. add_edge(v[2], v[0], g);
  32. add_edge(v[3], v[4], g);
  33. add_edge(v[4], v[0], g);
  34. }
  35. template <typename Graph>
  36. void test_undirected()
  37. {
  38. typedef typename graph_traits<Graph>::vertex_descriptor Vertex;
  39. typedef exterior_vertex_property<Graph, double> ClusteringProperty;
  40. typedef typename ClusteringProperty::container_type ClusteringContainer;
  41. typedef typename ClusteringProperty::map_type ClusteringMap;
  42. Graph g;
  43. vector<Vertex> v(N);
  44. build_graph(g, v);
  45. ClusteringContainer cc(num_vertices(g));
  46. ClusteringMap cm(cc, g);
  47. BOOST_ASSERT(num_paths_through_vertex(g, v[0]) == 3);
  48. BOOST_ASSERT(num_paths_through_vertex(g, v[1]) == 1);
  49. BOOST_ASSERT(num_paths_through_vertex(g, v[2]) == 1);
  50. BOOST_ASSERT(num_paths_through_vertex(g, v[3]) == 0);
  51. BOOST_ASSERT(num_paths_through_vertex(g, v[4]) == 1);
  52. BOOST_ASSERT(num_triangles_on_vertex(g, v[0]) == 1);
  53. BOOST_ASSERT(num_triangles_on_vertex(g, v[1]) == 1);
  54. BOOST_ASSERT(num_triangles_on_vertex(g, v[2]) == 1);
  55. BOOST_ASSERT(num_triangles_on_vertex(g, v[3]) == 0);
  56. BOOST_ASSERT(num_triangles_on_vertex(g, v[4]) == 0);
  57. // TODO: Need a FP approximation to assert here.
  58. // BOOST_ASSERT(clustering_coefficient(g, v[0]) == double(1)/3);
  59. BOOST_ASSERT(clustering_coefficient(g, v[1]) == 1);
  60. BOOST_ASSERT(clustering_coefficient(g, v[2]) == 1);
  61. BOOST_ASSERT(clustering_coefficient(g, v[3]) == 0);
  62. BOOST_ASSERT(clustering_coefficient(g, v[4]) == 0);
  63. all_clustering_coefficients(g, cm);
  64. // TODO: Need a FP approximation to assert here.
  65. // BOOST_ASSERT(cm[v[0]] == double(1)/3);
  66. BOOST_ASSERT(cm[v[1]] == 1);
  67. BOOST_ASSERT(cm[v[2]] == 1);
  68. BOOST_ASSERT(cm[v[3]] == 0);
  69. BOOST_ASSERT(cm[v[4]] == 0);
  70. // I would have used check_close, but apparently, that requires
  71. // me to link this against a library - which I don't really want
  72. // to do. Basically, this makes sure that that coefficient is
  73. // within some tolerance (like 1/10 million).
  74. double coef = mean_clustering_coefficient(g, cm);
  75. BOOST_ASSERT((coef - (7.0f / 15.0f)) < 1e-7f);
  76. }
  77. int
  78. main(int, char *[])
  79. {
  80. typedef undirected_graph<> Graph;
  81. // typedef directed_graph<> Digraph;
  82. // TODO: write a test for directed clustering coefficient.
  83. test_undirected<Graph>();
  84. // test<Digraph>();
  85. }