| 1 | // Copyright (C) 2007 Douglas Gregor |
| 2 | |
| 3 | // Use, modification and distribution is subject to the Boost Software |
| 4 | // License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at |
| 5 | // http://www.boost.org/LICENSE_1_0.txt) |
| 6 | |
| 7 | // Provides support for named vertices in graphs, allowing one to more |
| 8 | // easily associate unique external names (URLs, city names, employee |
| 9 | // ID numbers, etc.) with the vertices of a graph. |
| 10 | #ifndef BOOST_GRAPH_NAMED_GRAPH_HPP |
| 11 | #define BOOST_GRAPH_NAMED_GRAPH_HPP |
| 12 | |
| 13 | #include <boost/config.hpp> |
| 14 | #include <boost/static_assert.hpp> |
| 15 | #include <boost/functional/hash.hpp> |
| 16 | #include <boost/graph/graph_traits.hpp> |
| 17 | #include <boost/graph/properties.hpp> |
| 18 | #include <boost/multi_index/hashed_index.hpp> |
| 19 | #include <boost/multi_index/member.hpp> |
| 20 | #include <boost/multi_index_container.hpp> |
| 21 | #include <boost/optional.hpp> |
| 22 | #include <boost/pending/property.hpp> // for boost::lookup_one_property |
| 23 | #include <boost/pending/container_traits.hpp> |
| 24 | #include <boost/throw_exception.hpp> |
| 25 | #include <boost/tuple/tuple.hpp> // for boost::make_tuple |
| 26 | #include <boost/type_traits/is_same.hpp> |
| 27 | #include <boost/type_traits/is_base_of.hpp> |
| 28 | #include <boost/type_traits/remove_cv.hpp> |
| 29 | #include <boost/type_traits/remove_reference.hpp> |
| 30 | #include <boost/utility/enable_if.hpp> |
| 31 | #include <functional> // for std::equal_to |
| 32 | #include <stdexcept> // for std::runtime_error |
| 33 | #include <utility> // for std::pair |
| 34 | |
| 35 | namespace boost |
| 36 | { |
| 37 | namespace graph |
| 38 | { |
| 39 | |
| 40 | /******************************************************************* |
| 41 | * User-customized traits * |
| 42 | *******************************************************************/ |
| 43 | |
| 44 | /** |
| 45 | * @brief Trait used to extract the internal vertex name from a vertex |
| 46 | * property. |
| 47 | * |
| 48 | * To enable the use of internal vertex names in a graph type, |
| 49 | * specialize the @c internal_vertex_name trait for your graph |
| 50 | * property (e.g., @c a City class, which stores information about the |
| 51 | * vertices in a road map). |
| 52 | */ |
| 53 | template < typename VertexProperty > struct internal_vertex_name |
| 54 | { |
| 55 | /** |
| 56 | * The @c type field provides a function object that extracts a key |
| 57 | * from the @c VertexProperty. The function object type must have a |
| 58 | * nested @c result_type that provides the type of the key. For |
| 59 | * more information, see the @c KeyExtractor concept in the |
| 60 | * Boost.MultiIndex documentation: @c type must either be @c void |
| 61 | * (if @c VertexProperty does not have an internal vertex name) or |
| 62 | * a model of @c KeyExtractor. |
| 63 | */ |
| 64 | typedef void type; |
| 65 | }; |
| 66 | |
| 67 | /** |
| 68 | * Extract the internal vertex name from a @c property structure by |
| 69 | * looking at its base. |
| 70 | */ |
| 71 | template < typename Tag, typename T, typename Base > |
| 72 | struct internal_vertex_name< property< Tag, T, Base > > |
| 73 | : internal_vertex_name< Base > |
| 74 | { |
| 75 | }; |
| 76 | |
| 77 | /** |
| 78 | * Construct an instance of @c VertexProperty directly from its |
| 79 | * name. This function object should be used within the @c |
| 80 | * internal_vertex_constructor trait. |
| 81 | */ |
| 82 | template < typename VertexProperty > struct vertex_from_name |
| 83 | { |
| 84 | private: |
| 85 | typedef typename internal_vertex_name< VertexProperty >::type |
| 86 | ; |
| 87 | |
| 88 | typedef typename remove_cv< typename remove_reference< |
| 89 | typename extract_name_type::result_type >::type >::type |
| 90 | vertex_name_type; |
| 91 | |
| 92 | public: |
| 93 | typedef vertex_name_type argument_type; |
| 94 | typedef VertexProperty result_type; |
| 95 | |
| 96 | VertexProperty operator()(const vertex_name_type& name) |
| 97 | { |
| 98 | return VertexProperty(name); |
| 99 | } |
| 100 | }; |
| 101 | |
| 102 | /** |
| 103 | * Throw an exception whenever one tries to construct a @c |
| 104 | * VertexProperty instance from its name. |
| 105 | */ |
| 106 | template < typename VertexProperty > struct cannot_add_vertex |
| 107 | { |
| 108 | private: |
| 109 | typedef typename internal_vertex_name< VertexProperty >::type |
| 110 | ; |
| 111 | |
| 112 | typedef typename remove_cv< typename remove_reference< |
| 113 | typename extract_name_type::result_type >::type >::type |
| 114 | vertex_name_type; |
| 115 | |
| 116 | public: |
| 117 | typedef vertex_name_type argument_type; |
| 118 | typedef VertexProperty result_type; |
| 119 | |
| 120 | VertexProperty operator()(const vertex_name_type&) |
| 121 | { |
| 122 | boost::throw_exception( |
| 123 | e: std::runtime_error("add_vertex: " |
| 124 | "unable to create a vertex from its name" )); |
| 125 | } |
| 126 | }; |
| 127 | |
| 128 | /** |
| 129 | * @brief Trait used to construct an instance of a @c VertexProperty, |
| 130 | * which is a class type that stores the properties associated with a |
| 131 | * vertex in a graph, from just the name of that vertex property. This |
| 132 | * operation is used when an operation is required to map from a |
| 133 | * vertex name to a vertex descriptor (e.g., to add an edge outgoing |
| 134 | * from that vertex), but no vertex by the name exists. The function |
| 135 | * object provided by this trait will be used to add new vertices |
| 136 | * based only on their names. Since this cannot be done for arbitrary |
| 137 | * types, the default behavior is to throw an exception when this |
| 138 | * routine is called, which requires that all named vertices be added |
| 139 | * before adding any edges by name. |
| 140 | */ |
| 141 | template < typename VertexProperty > struct internal_vertex_constructor |
| 142 | { |
| 143 | /** |
| 144 | * The @c type field provides a function object that constructs a |
| 145 | * new instance of @c VertexProperty from the name of the vertex (as |
| 146 | * determined by @c internal_vertex_name). The function object shall |
| 147 | * accept a vertex name and return a @c VertexProperty. Predefined |
| 148 | * options include: |
| 149 | * |
| 150 | * @c vertex_from_name<VertexProperty>: construct an instance of |
| 151 | * @c VertexProperty directly from the name. |
| 152 | * |
| 153 | * @c cannot_add_vertex<VertexProperty>: the default value, which |
| 154 | * throws an @c std::runtime_error if one attempts to add a vertex |
| 155 | * given just the name. |
| 156 | */ |
| 157 | typedef cannot_add_vertex< VertexProperty > type; |
| 158 | }; |
| 159 | |
| 160 | /** |
| 161 | * Extract the internal vertex constructor from a @c property structure by |
| 162 | * looking at its base. |
| 163 | */ |
| 164 | template < typename Tag, typename T, typename Base > |
| 165 | struct internal_vertex_constructor< property< Tag, T, Base > > |
| 166 | : internal_vertex_constructor< Base > |
| 167 | { |
| 168 | }; |
| 169 | |
| 170 | /******************************************************************* |
| 171 | * Named graph mixin * |
| 172 | *******************************************************************/ |
| 173 | |
| 174 | /** |
| 175 | * named_graph is a mixin that provides names for the vertices of a |
| 176 | * graph, including a mapping from names to vertices. Graph types that |
| 177 | * may or may not be have vertex names (depending on the properties |
| 178 | * supplied by the user) should use maybe_named_graph. |
| 179 | * |
| 180 | * Template parameters: |
| 181 | * |
| 182 | * Graph: the graph type that derives from named_graph |
| 183 | * |
| 184 | * Vertex: the type of a vertex descriptor in Graph. Note: we cannot |
| 185 | * use graph_traits here, because the Graph is not yet defined. |
| 186 | * |
| 187 | * VertexProperty: the type stored with each vertex in the Graph. |
| 188 | */ |
| 189 | template < typename Graph, typename Vertex, typename VertexProperty > |
| 190 | class named_graph |
| 191 | { |
| 192 | public: |
| 193 | /// The type of the function object that extracts names from vertex |
| 194 | /// properties. |
| 195 | typedef typename internal_vertex_name< VertexProperty >::type |
| 196 | ; |
| 197 | /// The type of the "bundled" property, from which the name can be |
| 198 | /// extracted. |
| 199 | typedef typename lookup_one_property< VertexProperty, |
| 200 | vertex_bundle_t >::type bundled_vertex_property_type; |
| 201 | |
| 202 | /// The type of the function object that generates vertex properties |
| 203 | /// from names, for the implicit addition of vertices. |
| 204 | typedef typename internal_vertex_constructor< VertexProperty >::type |
| 205 | vertex_constructor_type; |
| 206 | |
| 207 | /// The type used to name vertices in the graph |
| 208 | typedef typename remove_cv< typename remove_reference< |
| 209 | typename extract_name_type::result_type >::type >::type |
| 210 | vertex_name_type; |
| 211 | |
| 212 | /// The type of vertex descriptors in the graph |
| 213 | typedef Vertex vertex_descriptor; |
| 214 | |
| 215 | private: |
| 216 | /// Key extractor for use with the multi_index_container |
| 217 | struct |
| 218 | { |
| 219 | typedef vertex_name_type ; |
| 220 | |
| 221 | ( |
| 222 | Graph& graph, const extract_name_type& ) |
| 223 | : graph(graph), extract(extract) |
| 224 | { |
| 225 | } |
| 226 | |
| 227 | const result_type& (Vertex vertex) const |
| 228 | { |
| 229 | return extract(graph[vertex]); |
| 230 | } |
| 231 | |
| 232 | Graph& ; |
| 233 | extract_name_type ; |
| 234 | }; |
| 235 | |
| 236 | public: |
| 237 | /// The type that maps names to vertices |
| 238 | typedef multi_index::multi_index_container< Vertex, |
| 239 | multi_index::indexed_by< |
| 240 | multi_index::hashed_unique< multi_index::tag< vertex_name_t >, |
| 241 | extract_name_from_vertex > > > |
| 242 | named_vertices_type; |
| 243 | |
| 244 | /// The set of vertices, indexed by name |
| 245 | typedef |
| 246 | typename named_vertices_type::template index< vertex_name_t >::type |
| 247 | vertices_by_name_type; |
| 248 | |
| 249 | /// Construct an instance of the named graph mixin, using the given |
| 250 | /// function object to extract a name from the bundled property |
| 251 | /// associated with a vertex. |
| 252 | named_graph(const extract_name_type& = extract_name_type(), |
| 253 | const vertex_constructor_type& vertex_constructor |
| 254 | = vertex_constructor_type()); |
| 255 | |
| 256 | /// Notify the named_graph that we have added the given vertex. The |
| 257 | /// name of the vertex will be added to the mapping. |
| 258 | void added_vertex(Vertex vertex); |
| 259 | |
| 260 | /// Notify the named_graph that we are removing the given |
| 261 | /// vertex. The name of the vertex will be removed from the mapping. |
| 262 | template < typename VertexIterStability > |
| 263 | void removing_vertex(Vertex vertex, VertexIterStability); |
| 264 | |
| 265 | /// Notify the named_graph that we are clearing the graph. |
| 266 | /// This will clear out all of the name->vertex mappings |
| 267 | void clearing_graph(); |
| 268 | |
| 269 | /// Retrieve the derived instance |
| 270 | Graph& derived() { return static_cast< Graph& >(*this); } |
| 271 | const Graph& derived() const |
| 272 | { |
| 273 | return static_cast< const Graph& >(*this); |
| 274 | } |
| 275 | |
| 276 | /// Extract the name from a vertex property instance |
| 277 | typename extract_name_type::result_type extract_name( |
| 278 | const bundled_vertex_property_type& property); |
| 279 | |
| 280 | /// Search for a vertex that has the given property (based on its |
| 281 | /// name) |
| 282 | optional< vertex_descriptor > vertex_by_property( |
| 283 | const bundled_vertex_property_type& property); |
| 284 | |
| 285 | /// Mapping from names to vertices |
| 286 | named_vertices_type named_vertices; |
| 287 | |
| 288 | /// Constructs a vertex from the name of that vertex |
| 289 | vertex_constructor_type vertex_constructor; |
| 290 | }; |
| 291 | |
| 292 | /// Helper macro containing the template parameters of named_graph |
| 293 | #define BGL_NAMED_GRAPH_PARAMS \ |
| 294 | typename Graph, typename Vertex, typename VertexProperty |
| 295 | /// Helper macro containing the named_graph<...> instantiation |
| 296 | #define BGL_NAMED_GRAPH named_graph< Graph, Vertex, VertexProperty > |
| 297 | |
| 298 | template < BGL_NAMED_GRAPH_PARAMS > |
| 299 | BGL_NAMED_GRAPH::named_graph(const extract_name_type& , |
| 300 | const vertex_constructor_type& vertex_constructor) |
| 301 | : named_vertices(typename named_vertices_type::ctor_args_list( |
| 302 | boost::make_tuple(boost::make_tuple(0, // initial number of buckets |
| 303 | extract_name_from_vertex(derived(), extract), |
| 304 | boost::hash< vertex_name_type >(), |
| 305 | std::equal_to< vertex_name_type >())))) |
| 306 | , vertex_constructor(vertex_constructor) |
| 307 | { |
| 308 | } |
| 309 | |
| 310 | template < BGL_NAMED_GRAPH_PARAMS > |
| 311 | inline void BGL_NAMED_GRAPH::added_vertex(Vertex vertex) |
| 312 | { |
| 313 | named_vertices.insert(vertex); |
| 314 | } |
| 315 | |
| 316 | template < BGL_NAMED_GRAPH_PARAMS > |
| 317 | template < typename VertexIterStability > |
| 318 | inline void BGL_NAMED_GRAPH::removing_vertex( |
| 319 | Vertex vertex, VertexIterStability) |
| 320 | { |
| 321 | BOOST_STATIC_ASSERT_MSG( |
| 322 | (boost::is_base_of< boost::graph_detail::stable_tag, |
| 323 | VertexIterStability >::value), |
| 324 | "Named graphs cannot use vecS as vertex container and remove " |
| 325 | "vertices; the lack of vertex descriptor stability (which iterator " |
| 326 | "stability is a proxy for) means that the name -> vertex mapping " |
| 327 | "would need to be completely rebuilt after each deletion. See " |
| 328 | "https://svn.boost.org/trac/boost/ticket/7863 for more information " |
| 329 | "and a test case." ); |
| 330 | typedef typename BGL_NAMED_GRAPH::vertex_name_type vertex_name_type; |
| 331 | const vertex_name_type& vertex_name = extract_name(property: derived()[vertex]); |
| 332 | named_vertices.erase(vertex_name); |
| 333 | } |
| 334 | |
| 335 | template < BGL_NAMED_GRAPH_PARAMS > |
| 336 | inline void BGL_NAMED_GRAPH::clearing_graph() |
| 337 | { |
| 338 | named_vertices.clear(); |
| 339 | } |
| 340 | |
| 341 | template < BGL_NAMED_GRAPH_PARAMS > |
| 342 | typename BGL_NAMED_GRAPH::extract_name_type::result_type |
| 343 | BGL_NAMED_GRAPH::(const bundled_vertex_property_type& property) |
| 344 | { |
| 345 | return named_vertices.key_extractor().extract(property); |
| 346 | } |
| 347 | |
| 348 | template < BGL_NAMED_GRAPH_PARAMS > |
| 349 | optional< typename BGL_NAMED_GRAPH::vertex_descriptor > |
| 350 | BGL_NAMED_GRAPH::vertex_by_property( |
| 351 | const bundled_vertex_property_type& property) |
| 352 | { |
| 353 | return find_vertex(extract_name(property), *this); |
| 354 | } |
| 355 | |
| 356 | /// Retrieve the vertex associated with the given name |
| 357 | template < BGL_NAMED_GRAPH_PARAMS > |
| 358 | optional< Vertex > find_vertex( |
| 359 | typename BGL_NAMED_GRAPH::vertex_name_type const& name, |
| 360 | const BGL_NAMED_GRAPH& g) |
| 361 | { |
| 362 | typedef typename BGL_NAMED_GRAPH::vertices_by_name_type |
| 363 | vertices_by_name_type; |
| 364 | |
| 365 | // Retrieve the set of vertices indexed by name |
| 366 | vertices_by_name_type const& vertices_by_name |
| 367 | = g.named_vertices.template get< vertex_name_t >(); |
| 368 | |
| 369 | /// Look for a vertex with the given name |
| 370 | typename vertices_by_name_type::const_iterator iter |
| 371 | = vertices_by_name.find(name); |
| 372 | |
| 373 | if (iter == vertices_by_name.end()) |
| 374 | return optional< Vertex >(); // vertex not found |
| 375 | else |
| 376 | return *iter; |
| 377 | } |
| 378 | |
| 379 | /// Retrieve the vertex associated with the given name, or add a new |
| 380 | /// vertex with that name if no such vertex is available. |
| 381 | /// Note: This is enabled only when the vertex property type is different |
| 382 | /// from the vertex name to avoid ambiguous overload problems with |
| 383 | /// the add_vertex() function that takes a vertex property. |
| 384 | template < BGL_NAMED_GRAPH_PARAMS > |
| 385 | typename disable_if< |
| 386 | is_same< typename BGL_NAMED_GRAPH::vertex_name_type, VertexProperty >, |
| 387 | Vertex >::type |
| 388 | add_vertex(typename BGL_NAMED_GRAPH::vertex_name_type const& name, |
| 389 | BGL_NAMED_GRAPH& g) |
| 390 | { |
| 391 | if (optional< Vertex > vertex = find_vertex(name, g)) |
| 392 | /// We found the vertex, so return it |
| 393 | return *vertex; |
| 394 | else |
| 395 | /// There is no vertex with the given name, so create one |
| 396 | return add_vertex(g.vertex_constructor(name), g.derived()); |
| 397 | } |
| 398 | |
| 399 | /// Add an edge using vertex names to refer to the vertices |
| 400 | template < BGL_NAMED_GRAPH_PARAMS > |
| 401 | std::pair< typename graph_traits< Graph >::edge_descriptor, bool > add_edge( |
| 402 | typename BGL_NAMED_GRAPH::vertex_name_type const& u_name, |
| 403 | typename BGL_NAMED_GRAPH::vertex_name_type const& v_name, |
| 404 | BGL_NAMED_GRAPH& g) |
| 405 | { |
| 406 | return add_edge(add_vertex(u_name, g.derived()), |
| 407 | add_vertex(v_name, g.derived()), g.derived()); |
| 408 | } |
| 409 | |
| 410 | /// Add an edge using vertex descriptors or names to refer to the vertices |
| 411 | template < BGL_NAMED_GRAPH_PARAMS > |
| 412 | std::pair< typename graph_traits< Graph >::edge_descriptor, bool > add_edge( |
| 413 | typename BGL_NAMED_GRAPH::vertex_descriptor const& u, |
| 414 | typename BGL_NAMED_GRAPH::vertex_name_type const& v_name, |
| 415 | BGL_NAMED_GRAPH& g) |
| 416 | { |
| 417 | return add_edge(u, add_vertex(v_name, g.derived()), g.derived()); |
| 418 | } |
| 419 | |
| 420 | /// Add an edge using vertex descriptors or names to refer to the vertices |
| 421 | template < BGL_NAMED_GRAPH_PARAMS > |
| 422 | std::pair< typename graph_traits< Graph >::edge_descriptor, bool > add_edge( |
| 423 | typename BGL_NAMED_GRAPH::vertex_name_type const& u_name, |
| 424 | typename BGL_NAMED_GRAPH::vertex_descriptor const& v, |
| 425 | BGL_NAMED_GRAPH& g) |
| 426 | { |
| 427 | return add_edge(add_vertex(u_name, g.derived()), v, g.derived()); |
| 428 | } |
| 429 | |
| 430 | // Overloads to support EdgeMutablePropertyGraph graphs |
| 431 | template < BGL_NAMED_GRAPH_PARAMS > |
| 432 | std::pair< typename graph_traits< Graph >::edge_descriptor, bool > add_edge( |
| 433 | typename BGL_NAMED_GRAPH::vertex_descriptor const& u, |
| 434 | typename BGL_NAMED_GRAPH::vertex_name_type const& v_name, |
| 435 | typename edge_property_type< Graph >::type const& p, BGL_NAMED_GRAPH& g) |
| 436 | { |
| 437 | return add_edge(u, add_vertex(v_name, g.derived()), p, g.derived()); |
| 438 | } |
| 439 | |
| 440 | template < BGL_NAMED_GRAPH_PARAMS > |
| 441 | std::pair< typename graph_traits< Graph >::edge_descriptor, bool > add_edge( |
| 442 | typename BGL_NAMED_GRAPH::vertex_name_type const& u_name, |
| 443 | typename BGL_NAMED_GRAPH::vertex_descriptor const& v, |
| 444 | typename edge_property_type< Graph >::type const& p, BGL_NAMED_GRAPH& g) |
| 445 | { |
| 446 | return add_edge(add_vertex(u_name, g.derived()), v, p, g.derived()); |
| 447 | } |
| 448 | |
| 449 | template < BGL_NAMED_GRAPH_PARAMS > |
| 450 | std::pair< typename graph_traits< Graph >::edge_descriptor, bool > add_edge( |
| 451 | typename BGL_NAMED_GRAPH::vertex_name_type const& u_name, |
| 452 | typename BGL_NAMED_GRAPH::vertex_name_type const& v_name, |
| 453 | typename edge_property_type< Graph >::type const& p, BGL_NAMED_GRAPH& g) |
| 454 | { |
| 455 | return add_edge(add_vertex(u_name, g.derived()), |
| 456 | add_vertex(v_name, g.derived()), p, g.derived()); |
| 457 | } |
| 458 | |
| 459 | #undef BGL_NAMED_GRAPH |
| 460 | #undef BGL_NAMED_GRAPH_PARAMS |
| 461 | |
| 462 | /******************************************************************* |
| 463 | * Maybe named graph mixin * |
| 464 | *******************************************************************/ |
| 465 | |
| 466 | /** |
| 467 | * A graph mixin that can provide a mapping from names to vertices, |
| 468 | * and use that mapping to simplify creation and manipulation of |
| 469 | * graphs. |
| 470 | */ |
| 471 | template < typename Graph, typename Vertex, typename VertexProperty, |
| 472 | typename ExtractName = |
| 473 | typename internal_vertex_name< VertexProperty >::type > |
| 474 | struct maybe_named_graph |
| 475 | : public named_graph< Graph, Vertex, VertexProperty > |
| 476 | { |
| 477 | }; |
| 478 | |
| 479 | /** |
| 480 | * A graph mixin that can provide a mapping from names to vertices, |
| 481 | * and use that mapping to simplify creation and manipulation of |
| 482 | * graphs. This partial specialization turns off this functionality |
| 483 | * when the @c VertexProperty does not have an internal vertex name. |
| 484 | */ |
| 485 | template < typename Graph, typename Vertex, typename VertexProperty > |
| 486 | struct maybe_named_graph< Graph, Vertex, VertexProperty, void > |
| 487 | { |
| 488 | /// The type of the "bundled" property, from which the name can be |
| 489 | /// extracted. |
| 490 | typedef typename lookup_one_property< VertexProperty, |
| 491 | vertex_bundle_t >::type bundled_vertex_property_type; |
| 492 | |
| 493 | /// Notify the named_graph that we have added the given vertex. This |
| 494 | /// is a no-op. |
| 495 | void added_vertex(Vertex) {} |
| 496 | |
| 497 | /// Notify the named_graph that we are removing the given |
| 498 | /// vertex. This is a no-op. |
| 499 | template < typename VertexIterStability > |
| 500 | void removing_vertex(Vertex, VertexIterStability) |
| 501 | { |
| 502 | } |
| 503 | |
| 504 | /// Notify the named_graph that we are clearing the graph. This is a |
| 505 | /// no-op. |
| 506 | void clearing_graph() {} |
| 507 | |
| 508 | /// Search for a vertex that has the given property (based on its |
| 509 | /// name). This always returns an empty optional<> |
| 510 | optional< Vertex > vertex_by_property( |
| 511 | const bundled_vertex_property_type&) |
| 512 | { |
| 513 | return optional< Vertex >(); |
| 514 | } |
| 515 | }; |
| 516 | |
| 517 | } |
| 518 | } // end namespace boost::graph |
| 519 | |
| 520 | #endif // BOOST_GRAPH_NAMED_GRAPH_HPP |
| 521 | |