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distributed/
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planar_detail/
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property_maps/
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accounting.hpp
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adjacency_iterator.hpp
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adjacency_list.hpp
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adjacency_list_io.hpp
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adjacency_matrix.hpp
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adj_list_serialize.hpp
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bc_clustering.hpp
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clustering_coefficient.hpp
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connected_components.hpp
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copy.hpp
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core_numbers.hpp
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create_condensation_graph.hpp
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cycle_canceling.hpp
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dag_shortest_paths.hpp
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degree_centrality.hpp
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depth_first_search.hpp
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dijkstra_shortest_paths.hpp
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dijkstra_shortest_paths_no_color_map.hpp
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dimacs.hpp
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directed_graph.hpp
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dll_import_export.hpp
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dominator_tree.hpp
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eccentricity.hpp
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edge_coloring.hpp
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edge_connectivity.hpp
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edge_list.hpp
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graphml.hpp
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graphviz.hpp
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graph_archetypes.hpp
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graph_as_tree.hpp
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graph_concepts.hpp
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graph_mutability_traits.hpp
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graph_selectors.hpp
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graph_stats.hpp
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graph_traits.hpp
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graph_utility.hpp
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grid_graph.hpp
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hawick_circuits.hpp
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howard_cycle_ratio.hpp
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incremental_components.hpp
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isomorphism.hpp
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king_ordering.hpp
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kruskal_min_spanning_tree.hpp
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labeled_graph.hpp
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leda_graph.hpp
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lookup_edge.hpp
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loop_erased_random_walk.hpp
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make_connected.hpp
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matrix_as_graph.hpp
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maximum_adjacency_search.hpp
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maximum_weighted_matching.hpp
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max_cardinality_matching.hpp
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mcgregor_common_subgraphs.hpp
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mesh_graph_generator.hpp
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metis.hpp
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minimum_degree_ordering.hpp
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named_function_params.hpp
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neighbor_bfs.hpp
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numeric_values.hpp
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one_bit_color_map.hpp
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overloading.hpp
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page_rank.hpp
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planar_canonical_ordering.hpp
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planar_face_traversal.hpp
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plod_generator.hpp
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point_traits.hpp
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prim_minimum_spanning_tree.hpp
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profile.hpp
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properties.hpp
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property_iter_range.hpp
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push_relabel_max_flow.hpp
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random.hpp
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random_layout.hpp
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random_spanning_tree.hpp
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read_dimacs.hpp
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relax.hpp
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reverse_graph.hpp
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rmat_graph_generator.hpp
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r_c_shortest_paths.hpp
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sequential_vertex_coloring.hpp
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simple_point.hpp
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sloan_ordering.hpp
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smallest_last_ordering.hpp
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small_world_generator.hpp
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ssca_graph_generator.hpp
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stanford_graph.hpp
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strong_components.hpp
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subgraph.hpp
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successive_shortest_path_nonnegative_weights.hpp
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/usr/include/boost/graph/sequential_vertex_coloring.hpp
(4562B)
//======================================================================= // Copyright 1997, 1998, 1999, 2000 University of Notre Dame. // Copyright 2004 The Trustees of Indiana University // Authors: Andrew Lumsdaine, Lie-Quan Lee, Jeremy G. Siek // // Distributed under the Boost Software License, Version 1.0. (See // accompanying file LICENSE_1_0.txt or copy at // http://www.boost.org/LICENSE_1_0.txt) //======================================================================= #ifndef BOOST_GRAPH_SEQUENTIAL_VERTEX_COLORING_HPP #define BOOST_GRAPH_SEQUENTIAL_VERTEX_COLORING_HPP #include <vector> #include <boost/graph/graph_traits.hpp> #include <boost/tuple/tuple.hpp> #include <boost/property_map/property_map.hpp> #include <boost/limits.hpp> #ifdef BOOST_NO_TEMPLATED_ITERATOR_CONSTRUCTORS #include <iterator> #endif /* This algorithm is to find coloring of a graph Algorithm: Let G = (V,E) be a graph with vertices (somehow) ordered v_1, v_2, ..., v_n. For k = 1, 2, ..., n the sequential algorithm assigns v_k to the smallest possible color. Reference: Thomas F. Coleman and Jorge J. More, Estimation of sparse Jacobian matrices and graph coloring problems. J. Numer. Anal. V20, P187-209, 1983 v_k is stored as o[k] here. The color of the vertex v will be stored in color[v]. i.e., vertex v belongs to coloring color[v] */ namespace boost { template < class VertexListGraph, class OrderPA, class ColorMap > typename property_traits< ColorMap >::value_type sequential_vertex_coloring( const VertexListGraph& G, OrderPA order, ColorMap color) { typedef graph_traits< VertexListGraph > GraphTraits; typedef typename GraphTraits::vertex_descriptor Vertex; typedef typename property_traits< ColorMap >::value_type size_type; size_type max_color = 0; const size_type V = num_vertices(G); // We need to keep track of which colors are used by // adjacent vertices. We do this by marking the colors // that are used. The mark array contains the mark // for each color. The length of mark is the // number of vertices since the maximum possible number of colors // is the number of vertices. std::vector< size_type > mark(V, std::numeric_limits< size_type >::max BOOST_PREVENT_MACRO_SUBSTITUTION()); // Initialize colors typename GraphTraits::vertex_iterator v, vend; for (boost::tie(v, vend) = vertices(G); v != vend; ++v) put(color, *v, V - 1); // Determine the color for every vertex one by one for (size_type i = 0; i < V; i++) { Vertex current = get(order, i); typename GraphTraits::adjacency_iterator v, vend; // Mark the colors of vertices adjacent to current. // i can be the value for marking since i increases successively for (boost::tie(v, vend) = adjacent_vertices(current, G); v != vend; ++v) mark[get(color, *v)] = i; // Next step is to assign the smallest un-marked color // to the current vertex. size_type j = 0; // Scan through all useable colors, find the smallest possible // color that is not used by neighbors. Note that if mark[j] // is equal to i, color j is used by one of the current vertex's // neighbors. while (j < max_color && mark[j] == i) ++j; if (j == max_color) // All colors are used up. Add one more color ++max_color; // At this point, j is the smallest possible color put(color, current, j); // Save the color of vertex current } return max_color; } template < class VertexListGraph, class ColorMap > typename property_traits< ColorMap >::value_type sequential_vertex_coloring( const VertexListGraph& G, ColorMap color) { typedef typename graph_traits< VertexListGraph >::vertex_descriptor vertex_descriptor; typedef typename graph_traits< VertexListGraph >::vertex_iterator vertex_iterator; std::pair< vertex_iterator, vertex_iterator > v = vertices(G); #ifndef BOOST_NO_TEMPLATED_ITERATOR_CONSTRUCTORS std::vector< vertex_descriptor > order(v.first, v.second); #else std::vector< vertex_descriptor > order; order.reserve(std::distance(v.first, v.second)); while (v.first != v.second) order.push_back(*v.first++); #endif return sequential_vertex_coloring(G, make_iterator_property_map(order.begin(), identity_property_map(), graph_traits< VertexListGraph >::null_vertex()), color); } } #endif
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