// (C) Copyright Andrew Sutton 2007 // // Use, modification and distribution are subject to the // Boost Software License, Version 1.0 (See accompanying file // LICENSE_1_0.txt or http://www.boost.org/LICENSE_1_0.txt) //[scaled_closeness_centrality_example #include #include #include #include #include #include #include "helper.hpp" using namespace std; using namespace boost; // This template struct provides a generic version of a "scaling" // closeness measure. Specifically, this implementation divides // the number of vertices in the graph by the sum of geodesic // distances of each vertex. This measure allows customization // of the distance type, result type, and even the underlying // divide operation. template > struct scaled_closeness_measure { typedef Distance distance_type; typedef Result result_type; Result operator ()(Distance d, const Graph& g) { if(d == numeric_values::infinity()) { return numeric_values::zero(); } else { return div(Result(num_vertices(g)), Result(d)); } } Divide div; }; // The Actor type stores the name of each vertex in the graph. struct Actor { std::string name; }; // Declare the graph type and its vertex and edge types. typedef undirected_graph Graph; typedef graph_traits::vertex_descriptor Vertex; typedef graph_traits::edge_descriptor Edge; // The name map provides an abstract accessor for the names of // each vertex. This is used during graph creation. typedef property_map::type NameMap; // Declare a matrix type and its corresponding property map that // will contain the distances between each pair of vertices. typedef exterior_vertex_property DistanceProperty; typedef DistanceProperty::matrix_type DistanceMatrix; typedef DistanceProperty::matrix_map_type DistanceMatrixMap; // Declare the weight map so that each edge returns the same value. typedef constant_property_map WeightMap; // Declare a container and its corresponding property map that // will contain the resulting closeness centralities of each // vertex in the graph. typedef boost::exterior_vertex_property ClosenessProperty; typedef ClosenessProperty::container_type ClosenessContainer; typedef ClosenessProperty::map_type ClosenessMap; int main(int argc, char *argv[]) { // Create the graph and a property map that provides access // to the actor names. Graph g; NameMap nm(get(&Actor::name, g)); // Read the graph from standard input. read_graph(g, nm, cin); // Compute the distances between all pairs of vertices using // the Floyd-Warshall algorithm. Note that the weight map is // created so that every edge has a weight of 1. DistanceMatrix distances(num_vertices(g)); DistanceMatrixMap dm(distances, g); WeightMap wm(1); floyd_warshall_all_pairs_shortest_paths(g, dm, weight_map(wm)); // Create the scaled closeness measure. scaled_closeness_measure m; // Compute the degree centrality for graph ClosenessContainer cents(num_vertices(g)); ClosenessMap cm(cents, g); all_closeness_centralities(g, dm, cm, m); // Print the scaled closeness centrality of each vertex. graph_traits::vertex_iterator i, end; for(boost::tie(i, end) = vertices(g); i != end; ++i) { cout << setw(12) << setiosflags(ios::left) << g[*i].name << get(cm, *i) << endl; } return 0; } //]