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1 // Copyright 2004-5 The Trustees of Indiana University.
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2 // Copyright 2002 Brad King and Douglas Gregor
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3
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4 // Distributed under the Boost Software License, Version 1.0.
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5 // (See accompanying file LICENSE_1_0.txt or copy at
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6 // http://www.boost.org/LICENSE_1_0.txt)
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7
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8 // Authors: Douglas Gregor
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9 // Andrew Lumsdaine
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10
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11 #ifndef BOOST_GRAPH_PAGE_RANK_HPP
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12 #define BOOST_GRAPH_PAGE_RANK_HPP
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13
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14 #include <boost/property_map/property_map.hpp>
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15 #include <boost/graph/graph_traits.hpp>
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16 #include <boost/graph/properties.hpp>
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17 #include <boost/graph/iteration_macros.hpp>
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18 #include <boost/graph/overloading.hpp>
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19 #include <vector>
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20
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21 namespace boost { namespace graph {
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22
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23 struct n_iterations
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24 {
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25 explicit n_iterations(std::size_t n) : n(n) { }
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26
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27 template<typename RankMap, typename Graph>
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28 bool
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29 operator()(const RankMap&, const Graph&)
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30 {
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31 return n-- == 0;
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32 }
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33
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34 private:
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35 std::size_t n;
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36 };
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37
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38 namespace detail {
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39 template<typename Graph, typename RankMap, typename RankMap2>
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40 void page_rank_step(const Graph& g, RankMap from_rank, RankMap2 to_rank,
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41 typename property_traits<RankMap>::value_type damping,
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42 incidence_graph_tag)
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43 {
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44 typedef typename property_traits<RankMap>::value_type rank_type;
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45
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46 // Set new rank maps
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47 BGL_FORALL_VERTICES_T(v, g, Graph) put(to_rank, v, rank_type(1 - damping));
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48
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49 BGL_FORALL_VERTICES_T(u, g, Graph) {
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50 rank_type u_rank_out = damping * get(from_rank, u) / out_degree(u, g);
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51 BGL_FORALL_ADJ_T(u, v, g, Graph)
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52 put(to_rank, v, get(to_rank, v) + u_rank_out);
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53 }
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54 }
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55
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56 template<typename Graph, typename RankMap, typename RankMap2>
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57 void page_rank_step(const Graph& g, RankMap from_rank, RankMap2 to_rank,
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58 typename property_traits<RankMap>::value_type damping,
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59 bidirectional_graph_tag)
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60 {
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61 typedef typename property_traits<RankMap>::value_type damping_type;
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62 BGL_FORALL_VERTICES_T(v, g, Graph) {
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63 typename property_traits<RankMap>::value_type rank(0);
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64 BGL_FORALL_INEDGES_T(v, e, g, Graph)
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65 rank += get(from_rank, source(e, g)) / out_degree(source(e, g), g);
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66 put(to_rank, v, (damping_type(1) - damping) + damping * rank);
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67 }
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68 }
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69 } // end namespace detail
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70
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71 template<typename Graph, typename RankMap, typename Done, typename RankMap2>
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72 void
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73 page_rank(const Graph& g, RankMap rank_map, Done done,
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74 typename property_traits<RankMap>::value_type damping,
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75 typename graph_traits<Graph>::vertices_size_type n,
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76 RankMap2 rank_map2
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77 BOOST_GRAPH_ENABLE_IF_MODELS_PARM(Graph, vertex_list_graph_tag))
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78 {
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79 typedef typename property_traits<RankMap>::value_type rank_type;
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80
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81 rank_type initial_rank = rank_type(rank_type(1) / n);
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82 BGL_FORALL_VERTICES_T(v, g, Graph) put(rank_map, v, initial_rank);
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83
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84 bool to_map_2 = true;
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85 while ((to_map_2 && !done(rank_map, g)) ||
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86 (!to_map_2 && !done(rank_map2, g))) {
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87 typedef typename graph_traits<Graph>::traversal_category category;
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88
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89 if (to_map_2) {
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90 detail::page_rank_step(g, rank_map, rank_map2, damping, category());
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91 } else {
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92 detail::page_rank_step(g, rank_map2, rank_map, damping, category());
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93 }
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94 to_map_2 = !to_map_2;
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95 }
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96
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97 if (!to_map_2) {
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98 BGL_FORALL_VERTICES_T(v, g, Graph) put(rank_map, v, get(rank_map2, v));
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99 }
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100 }
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101
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102 template<typename Graph, typename RankMap, typename Done>
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103 void
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104 page_rank(const Graph& g, RankMap rank_map, Done done,
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105 typename property_traits<RankMap>::value_type damping,
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106 typename graph_traits<Graph>::vertices_size_type n)
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107 {
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108 typedef typename property_traits<RankMap>::value_type rank_type;
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109
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110 std::vector<rank_type> ranks2(num_vertices(g));
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111 page_rank(g, rank_map, done, damping, n,
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112 make_iterator_property_map(ranks2.begin(), get(vertex_index, g)));
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113 }
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114
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115 template<typename Graph, typename RankMap, typename Done>
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116 inline void
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117 page_rank(const Graph& g, RankMap rank_map, Done done,
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118 typename property_traits<RankMap>::value_type damping = 0.85)
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119 {
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120 page_rank(g, rank_map, done, damping, num_vertices(g));
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121 }
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122
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123 template<typename Graph, typename RankMap>
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124 inline void
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125 page_rank(const Graph& g, RankMap rank_map)
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126 {
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127 page_rank(g, rank_map, n_iterations(20));
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128 }
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129
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130 // TBD: this could be _much_ more efficient, using a queue to store
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131 // the vertices that should be reprocessed and keeping track of which
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132 // vertices are in the queue with a property map. Baah, this only
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133 // applies when we have a bidirectional graph.
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134 template<typename MutableGraph>
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135 void
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136 remove_dangling_links(MutableGraph& g
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137 BOOST_GRAPH_ENABLE_IF_MODELS_PARM(MutableGraph,
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138 vertex_list_graph_tag))
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139 {
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140 typename graph_traits<MutableGraph>::vertices_size_type old_n;
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141 do {
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142 old_n = num_vertices(g);
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143
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144 typename graph_traits<MutableGraph>::vertex_iterator vi, vi_end;
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145 for (boost::tie(vi, vi_end) = vertices(g); vi != vi_end; /* in loop */) {
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146 typename graph_traits<MutableGraph>::vertex_descriptor v = *vi++;
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147 if (out_degree(v, g) == 0) {
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148 clear_vertex(v, g);
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149 remove_vertex(v, g);
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150 }
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151 }
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152 } while (num_vertices(g) < old_n);
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153 }
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154
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155 } } // end namespace boost::graph
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156
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157 #ifdef BOOST_GRAPH_USE_MPI
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158 # include <boost/graph/distributed/page_rank.hpp>
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159 #endif
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160
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161 #endif // BOOST_GRAPH_PAGE_RANK_HPP
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