| ... |
... |
@@ -13,14 +13,14 @@
|
| 13 |
13 |
* This software is provided "AS IS" with no warranty of any kind,
|
| 14 |
14 |
* express or implied, and with no claim as to its suitability for any
|
| 15 |
15 |
* purpose.
|
| 16 |
16 |
*
|
| 17 |
17 |
*/
|
| 18 |
18 |
|
| 19 |
|
#ifndef LEMON_TOPOLOGY_H
|
| 20 |
|
#define LEMON_TOPOLOGY_H
|
|
19 |
#ifndef LEMON_CONNECTIVITY_H
|
|
20 |
#define LEMON_CONNECTIVITY_H
|
| 21 |
21 |
|
| 22 |
22 |
#include <lemon/dfs.h>
|
| 23 |
23 |
#include <lemon/bfs.h>
|
| 24 |
24 |
#include <lemon/core.h>
|
| 25 |
25 |
#include <lemon/maps.h>
|
| 26 |
26 |
#include <lemon/adaptors.h>
|
| ... |
... |
@@ -151,13 +151,13 @@
|
| 151 |
151 |
++compNum;
|
| 152 |
152 |
}
|
| 153 |
153 |
}
|
| 154 |
154 |
return compNum;
|
| 155 |
155 |
}
|
| 156 |
156 |
|
| 157 |
|
namespace _topology_bits {
|
|
157 |
namespace _connectivity_bits {
|
| 158 |
158 |
|
| 159 |
159 |
template <typename Digraph, typename Iterator >
|
| 160 |
160 |
struct LeaveOrderVisitor : public DfsVisitor<Digraph> {
|
| 161 |
161 |
public:
|
| 162 |
162 |
typedef typename Digraph::Node Node;
|
| 163 |
163 |
LeaveOrderVisitor(Iterator it) : _it(it) {}
|
| ... |
... |
@@ -185,25 +185,25 @@
|
| 185 |
185 |
private:
|
| 186 |
186 |
Map& _map;
|
| 187 |
187 |
Value& _value;
|
| 188 |
188 |
};
|
| 189 |
189 |
|
| 190 |
190 |
template <typename Digraph, typename ArcMap>
|
| 191 |
|
struct StronglyConnectedCutEdgesVisitor : public DfsVisitor<Digraph> {
|
|
191 |
struct StronglyConnectedCutArcsVisitor : public DfsVisitor<Digraph> {
|
| 192 |
192 |
public:
|
| 193 |
193 |
typedef typename Digraph::Node Node;
|
| 194 |
194 |
typedef typename Digraph::Arc Arc;
|
| 195 |
195 |
|
| 196 |
|
StronglyConnectedCutEdgesVisitor(const Digraph& digraph,
|
| 197 |
|
ArcMap& cutMap,
|
| 198 |
|
int& cutNum)
|
|
196 |
StronglyConnectedCutArcsVisitor(const Digraph& digraph,
|
|
197 |
ArcMap& cutMap,
|
|
198 |
int& cutNum)
|
| 199 |
199 |
: _digraph(digraph), _cutMap(cutMap), _cutNum(cutNum),
|
| 200 |
|
_compMap(digraph), _num(0) {
|
|
200 |
_compMap(digraph, -1), _num(-1) {
|
| 201 |
201 |
}
|
| 202 |
202 |
|
| 203 |
|
void stop(const Node&) {
|
|
203 |
void start(const Node&) {
|
| 204 |
204 |
++_num;
|
| 205 |
205 |
}
|
| 206 |
206 |
|
| 207 |
207 |
void reach(const Node& node) {
|
| 208 |
208 |
_compMap.set(node, _num);
|
| 209 |
209 |
}
|
| ... |
... |
@@ -245,13 +245,13 @@
|
| 245 |
245 |
typedef typename Digraph::Node Node;
|
| 246 |
246 |
typedef typename Digraph::NodeIt NodeIt;
|
| 247 |
247 |
|
| 248 |
248 |
typename Digraph::Node source = NodeIt(digraph);
|
| 249 |
249 |
if (source == INVALID) return true;
|
| 250 |
250 |
|
| 251 |
|
using namespace _topology_bits;
|
|
251 |
using namespace _connectivity_bits;
|
| 252 |
252 |
|
| 253 |
253 |
typedef DfsVisitor<Digraph> Visitor;
|
| 254 |
254 |
Visitor visitor;
|
| 255 |
255 |
|
| 256 |
256 |
DfsVisit<Digraph, Visitor> dfs(digraph, visitor);
|
| 257 |
257 |
dfs.init();
|
| ... |
... |
@@ -262,23 +262,24 @@
|
| 262 |
262 |
if (!dfs.reached(it)) {
|
| 263 |
263 |
return false;
|
| 264 |
264 |
}
|
| 265 |
265 |
}
|
| 266 |
266 |
|
| 267 |
267 |
typedef ReverseDigraph<const Digraph> RDigraph;
|
|
268 |
typedef typename RDigraph::NodeIt RNodeIt;
|
| 268 |
269 |
RDigraph rdigraph(digraph);
|
| 269 |
270 |
|
| 270 |
271 |
typedef DfsVisitor<Digraph> RVisitor;
|
| 271 |
272 |
RVisitor rvisitor;
|
| 272 |
273 |
|
| 273 |
274 |
DfsVisit<RDigraph, RVisitor> rdfs(rdigraph, rvisitor);
|
| 274 |
275 |
rdfs.init();
|
| 275 |
276 |
rdfs.addSource(source);
|
| 276 |
277 |
rdfs.start();
|
| 277 |
278 |
|
| 278 |
|
for (NodeIt it(rdigraph); it != INVALID; ++it) {
|
|
279 |
for (RNodeIt it(rdigraph); it != INVALID; ++it) {
|
| 279 |
280 |
if (!rdfs.reached(it)) {
|
| 280 |
281 |
return false;
|
| 281 |
282 |
}
|
| 282 |
283 |
}
|
| 283 |
284 |
|
| 284 |
285 |
return true;
|
| ... |
... |
@@ -299,13 +300,13 @@
|
| 299 |
300 |
/// \note By definition, the empty graph has zero
|
| 300 |
301 |
/// strongly connected components.
|
| 301 |
302 |
template <typename Digraph>
|
| 302 |
303 |
int countStronglyConnectedComponents(const Digraph& digraph) {
|
| 303 |
304 |
checkConcept<concepts::Digraph, Digraph>();
|
| 304 |
305 |
|
| 305 |
|
using namespace _topology_bits;
|
|
306 |
using namespace _connectivity_bits;
|
| 306 |
307 |
|
| 307 |
308 |
typedef typename Digraph::Node Node;
|
| 308 |
309 |
typedef typename Digraph::Arc Arc;
|
| 309 |
310 |
typedef typename Digraph::NodeIt NodeIt;
|
| 310 |
311 |
typedef typename Digraph::ArcIt ArcIt;
|
| 311 |
312 |
|
| ... |
... |
@@ -371,13 +372,13 @@
|
| 371 |
372 |
int stronglyConnectedComponents(const Digraph& digraph, NodeMap& compMap) {
|
| 372 |
373 |
checkConcept<concepts::Digraph, Digraph>();
|
| 373 |
374 |
typedef typename Digraph::Node Node;
|
| 374 |
375 |
typedef typename Digraph::NodeIt NodeIt;
|
| 375 |
376 |
checkConcept<concepts::WriteMap<Node, int>, NodeMap>();
|
| 376 |
377 |
|
| 377 |
|
using namespace _topology_bits;
|
|
378 |
using namespace _connectivity_bits;
|
| 378 |
379 |
|
| 379 |
380 |
typedef std::vector<Node> Container;
|
| 380 |
381 |
typedef typename Container::iterator Iterator;
|
| 381 |
382 |
|
| 382 |
383 |
Container nodes(countNodes(digraph));
|
| 383 |
384 |
typedef LeaveOrderVisitor<Digraph, Iterator> Visitor;
|
| ... |
... |
@@ -435,13 +436,13 @@
|
| 435 |
436 |
checkConcept<concepts::Digraph, Digraph>();
|
| 436 |
437 |
typedef typename Digraph::Node Node;
|
| 437 |
438 |
typedef typename Digraph::Arc Arc;
|
| 438 |
439 |
typedef typename Digraph::NodeIt NodeIt;
|
| 439 |
440 |
checkConcept<concepts::WriteMap<Arc, bool>, ArcMap>();
|
| 440 |
441 |
|
| 441 |
|
using namespace _topology_bits;
|
|
442 |
using namespace _connectivity_bits;
|
| 442 |
443 |
|
| 443 |
444 |
typedef std::vector<Node> Container;
|
| 444 |
445 |
typedef typename Container::iterator Iterator;
|
| 445 |
446 |
|
| 446 |
447 |
Container nodes(countNodes(graph));
|
| 447 |
448 |
typedef LeaveOrderVisitor<Digraph, Iterator> Visitor;
|
| ... |
... |
@@ -460,13 +461,13 @@
|
| 460 |
461 |
typedef ReverseDigraph<const Digraph> RDigraph;
|
| 461 |
462 |
|
| 462 |
463 |
RDigraph rgraph(graph);
|
| 463 |
464 |
|
| 464 |
465 |
int cutNum = 0;
|
| 465 |
466 |
|
| 466 |
|
typedef StronglyConnectedCutEdgesVisitor<RDigraph, ArcMap> RVisitor;
|
|
467 |
typedef StronglyConnectedCutArcsVisitor<RDigraph, ArcMap> RVisitor;
|
| 467 |
468 |
RVisitor rvisitor(rgraph, cutMap, cutNum);
|
| 468 |
469 |
|
| 469 |
470 |
DfsVisit<RDigraph, RVisitor> rdfs(rgraph, rvisitor);
|
| 470 |
471 |
|
| 471 |
472 |
rdfs.init();
|
| 472 |
473 |
for (RIterator it = nodes.rbegin(); it != nodes.rend(); ++it) {
|
| ... |
... |
@@ -475,13 +476,13 @@
|
| 475 |
476 |
rdfs.start();
|
| 476 |
477 |
}
|
| 477 |
478 |
}
|
| 478 |
479 |
return cutNum;
|
| 479 |
480 |
}
|
| 480 |
481 |
|
| 481 |
|
namespace _topology_bits {
|
|
482 |
namespace _connectivity_bits {
|
| 482 |
483 |
|
| 483 |
484 |
template <typename Digraph>
|
| 484 |
485 |
class CountBiNodeConnectedComponentsVisitor : public DfsVisitor<Digraph> {
|
| 485 |
486 |
public:
|
| 486 |
487 |
typedef typename Digraph::Node Node;
|
| 487 |
488 |
typedef typename Digraph::Arc Arc;
|
| ... |
... |
@@ -727,13 +728,13 @@
|
| 727 |
728 |
/// \return The number of components.
|
| 728 |
729 |
template <typename Graph>
|
| 729 |
730 |
int countBiNodeConnectedComponents(const Graph& graph) {
|
| 730 |
731 |
checkConcept<concepts::Graph, Graph>();
|
| 731 |
732 |
typedef typename Graph::NodeIt NodeIt;
|
| 732 |
733 |
|
| 733 |
|
using namespace _topology_bits;
|
|
734 |
using namespace _connectivity_bits;
|
| 734 |
735 |
|
| 735 |
736 |
typedef CountBiNodeConnectedComponentsVisitor<Graph> Visitor;
|
| 736 |
737 |
|
| 737 |
738 |
int compNum = 0;
|
| 738 |
739 |
Visitor visitor(graph, compNum);
|
| 739 |
740 |
|
| ... |
... |
@@ -770,13 +771,13 @@
|
| 770 |
771 |
EdgeMap& compMap) {
|
| 771 |
772 |
checkConcept<concepts::Graph, Graph>();
|
| 772 |
773 |
typedef typename Graph::NodeIt NodeIt;
|
| 773 |
774 |
typedef typename Graph::Edge Edge;
|
| 774 |
775 |
checkConcept<concepts::WriteMap<Edge, int>, EdgeMap>();
|
| 775 |
776 |
|
| 776 |
|
using namespace _topology_bits;
|
|
777 |
using namespace _connectivity_bits;
|
| 777 |
778 |
|
| 778 |
779 |
typedef BiNodeConnectedComponentsVisitor<Graph, EdgeMap> Visitor;
|
| 779 |
780 |
|
| 780 |
781 |
int compNum = 0;
|
| 781 |
782 |
Visitor visitor(graph, compMap, compNum);
|
| 782 |
783 |
|
| ... |
... |
@@ -810,13 +811,13 @@
|
| 810 |
811 |
int biNodeConnectedCutNodes(const Graph& graph, NodeMap& cutMap) {
|
| 811 |
812 |
checkConcept<concepts::Graph, Graph>();
|
| 812 |
813 |
typedef typename Graph::Node Node;
|
| 813 |
814 |
typedef typename Graph::NodeIt NodeIt;
|
| 814 |
815 |
checkConcept<concepts::WriteMap<Node, bool>, NodeMap>();
|
| 815 |
816 |
|
| 816 |
|
using namespace _topology_bits;
|
|
817 |
using namespace _connectivity_bits;
|
| 817 |
818 |
|
| 818 |
819 |
typedef BiNodeConnectedCutNodesVisitor<Graph, NodeMap> Visitor;
|
| 819 |
820 |
|
| 820 |
821 |
int cutNum = 0;
|
| 821 |
822 |
Visitor visitor(graph, cutMap, cutNum);
|
| 822 |
823 |
|
| ... |
... |
@@ -829,13 +830,13 @@
|
| 829 |
830 |
dfs.start();
|
| 830 |
831 |
}
|
| 831 |
832 |
}
|
| 832 |
833 |
return cutNum;
|
| 833 |
834 |
}
|
| 834 |
835 |
|
| 835 |
|
namespace _topology_bits {
|
|
836 |
namespace _connectivity_bits {
|
| 836 |
837 |
|
| 837 |
838 |
template <typename Digraph>
|
| 838 |
839 |
class CountBiEdgeConnectedComponentsVisitor : public DfsVisitor<Digraph> {
|
| 839 |
840 |
public:
|
| 840 |
841 |
typedef typename Digraph::Node Node;
|
| 841 |
842 |
typedef typename Digraph::Arc Arc;
|
| ... |
... |
@@ -1050,13 +1051,13 @@
|
| 1050 |
1051 |
/// \return The number of components.
|
| 1051 |
1052 |
template <typename Graph>
|
| 1052 |
1053 |
int countBiEdgeConnectedComponents(const Graph& graph) {
|
| 1053 |
1054 |
checkConcept<concepts::Graph, Graph>();
|
| 1054 |
1055 |
typedef typename Graph::NodeIt NodeIt;
|
| 1055 |
1056 |
|
| 1056 |
|
using namespace _topology_bits;
|
|
1057 |
using namespace _connectivity_bits;
|
| 1057 |
1058 |
|
| 1058 |
1059 |
typedef CountBiEdgeConnectedComponentsVisitor<Graph> Visitor;
|
| 1059 |
1060 |
|
| 1060 |
1061 |
int compNum = 0;
|
| 1061 |
1062 |
Visitor visitor(graph, compNum);
|
| 1062 |
1063 |
|
| ... |
... |
@@ -1092,13 +1093,13 @@
|
| 1092 |
1093 |
int biEdgeConnectedComponents(const Graph& graph, NodeMap& compMap) {
|
| 1093 |
1094 |
checkConcept<concepts::Graph, Graph>();
|
| 1094 |
1095 |
typedef typename Graph::NodeIt NodeIt;
|
| 1095 |
1096 |
typedef typename Graph::Node Node;
|
| 1096 |
1097 |
checkConcept<concepts::WriteMap<Node, int>, NodeMap>();
|
| 1097 |
1098 |
|
| 1098 |
|
using namespace _topology_bits;
|
|
1099 |
using namespace _connectivity_bits;
|
| 1099 |
1100 |
|
| 1100 |
1101 |
typedef BiEdgeConnectedComponentsVisitor<Graph, NodeMap> Visitor;
|
| 1101 |
1102 |
|
| 1102 |
1103 |
int compNum = 0;
|
| 1103 |
1104 |
Visitor visitor(graph, compMap, compNum);
|
| 1104 |
1105 |
|
| ... |
... |
@@ -1133,13 +1134,13 @@
|
| 1133 |
1134 |
int biEdgeConnectedCutEdges(const Graph& graph, EdgeMap& cutMap) {
|
| 1134 |
1135 |
checkConcept<concepts::Graph, Graph>();
|
| 1135 |
1136 |
typedef typename Graph::NodeIt NodeIt;
|
| 1136 |
1137 |
typedef typename Graph::Edge Edge;
|
| 1137 |
1138 |
checkConcept<concepts::WriteMap<Edge, bool>, EdgeMap>();
|
| 1138 |
1139 |
|
| 1139 |
|
using namespace _topology_bits;
|
|
1140 |
using namespace _connectivity_bits;
|
| 1140 |
1141 |
|
| 1141 |
1142 |
typedef BiEdgeConnectedCutEdgesVisitor<Graph, EdgeMap> Visitor;
|
| 1142 |
1143 |
|
| 1143 |
1144 |
int cutNum = 0;
|
| 1144 |
1145 |
Visitor visitor(graph, cutMap, cutNum);
|
| 1145 |
1146 |
|
| ... |
... |
@@ -1153,13 +1154,13 @@
|
| 1153 |
1154 |
}
|
| 1154 |
1155 |
}
|
| 1155 |
1156 |
return cutNum;
|
| 1156 |
1157 |
}
|
| 1157 |
1158 |
|
| 1158 |
1159 |
|
| 1159 |
|
namespace _topology_bits {
|
|
1160 |
namespace _connectivity_bits {
|
| 1160 |
1161 |
|
| 1161 |
1162 |
template <typename Digraph, typename IntNodeMap>
|
| 1162 |
1163 |
class TopologicalSortVisitor : public DfsVisitor<Digraph> {
|
| 1163 |
1164 |
public:
|
| 1164 |
1165 |
typedef typename Digraph::Node Node;
|
| 1165 |
1166 |
typedef typename Digraph::Arc edge;
|
| ... |
... |
@@ -1190,13 +1191,13 @@
|
| 1190 |
1191 |
/// will be set exactly once, the values will be set descending order.
|
| 1191 |
1192 |
///
|
| 1192 |
1193 |
/// \see checkedTopologicalSort
|
| 1193 |
1194 |
/// \see dag
|
| 1194 |
1195 |
template <typename Digraph, typename NodeMap>
|
| 1195 |
1196 |
void topologicalSort(const Digraph& graph, NodeMap& order) {
|
| 1196 |
|
using namespace _topology_bits;
|
|
1197 |
using namespace _connectivity_bits;
|
| 1197 |
1198 |
|
| 1198 |
1199 |
checkConcept<concepts::Digraph, Digraph>();
|
| 1199 |
1200 |
checkConcept<concepts::WriteMap<typename Digraph::Node, int>, NodeMap>();
|
| 1200 |
1201 |
|
| 1201 |
1202 |
typedef typename Digraph::Node Node;
|
| 1202 |
1203 |
typedef typename Digraph::NodeIt NodeIt;
|
| ... |
... |
@@ -1231,38 +1232,40 @@
|
| 1231 |
1232 |
/// order.
|
| 1232 |
1233 |
/// \return %False when the graph is not DAG.
|
| 1233 |
1234 |
///
|
| 1234 |
1235 |
/// \see topologicalSort
|
| 1235 |
1236 |
/// \see dag
|
| 1236 |
1237 |
template <typename Digraph, typename NodeMap>
|
| 1237 |
|
bool checkedTopologicalSort(const Digraph& graph, NodeMap& order) {
|
| 1238 |
|
using namespace _topology_bits;
|
|
1238 |
bool checkedTopologicalSort(const Digraph& digraph, NodeMap& order) {
|
|
1239 |
using namespace _connectivity_bits;
|
| 1239 |
1240 |
|
| 1240 |
1241 |
checkConcept<concepts::Digraph, Digraph>();
|
| 1241 |
1242 |
checkConcept<concepts::ReadWriteMap<typename Digraph::Node, int>,
|
| 1242 |
1243 |
NodeMap>();
|
| 1243 |
1244 |
|
| 1244 |
1245 |
typedef typename Digraph::Node Node;
|
| 1245 |
1246 |
typedef typename Digraph::NodeIt NodeIt;
|
| 1246 |
1247 |
typedef typename Digraph::Arc Arc;
|
| 1247 |
1248 |
|
| 1248 |
|
order = constMap<Node, int, -1>();
|
|
1249 |
for (NodeIt it(digraph); it != INVALID; ++it) {
|
|
1250 |
order.set(it, -1);
|
|
1251 |
}
|
| 1249 |
1252 |
|
| 1250 |
1253 |
TopologicalSortVisitor<Digraph, NodeMap>
|
| 1251 |
|
visitor(order, countNodes(graph));
|
|
1254 |
visitor(order, countNodes(digraph));
|
| 1252 |
1255 |
|
| 1253 |
1256 |
DfsVisit<Digraph, TopologicalSortVisitor<Digraph, NodeMap> >
|
| 1254 |
|
dfs(graph, visitor);
|
|
1257 |
dfs(digraph, visitor);
|
| 1255 |
1258 |
|
| 1256 |
1259 |
dfs.init();
|
| 1257 |
|
for (NodeIt it(graph); it != INVALID; ++it) {
|
|
1260 |
for (NodeIt it(digraph); it != INVALID; ++it) {
|
| 1258 |
1261 |
if (!dfs.reached(it)) {
|
| 1259 |
1262 |
dfs.addSource(it);
|
| 1260 |
1263 |
while (!dfs.emptyQueue()) {
|
| 1261 |
|
Arc edge = dfs.nextArc();
|
| 1262 |
|
Node target = graph.target(edge);
|
|
1264 |
Arc arc = dfs.nextArc();
|
|
1265 |
Node target = digraph.target(arc);
|
| 1263 |
1266 |
if (dfs.reached(target) && order[target] == -1) {
|
| 1264 |
1267 |
return false;
|
| 1265 |
1268 |
}
|
| 1266 |
1269 |
dfs.processNextArc();
|
| 1267 |
1270 |
}
|
| 1268 |
1271 |
}
|
| ... |
... |
@@ -1276,35 +1279,35 @@
|
| 1276 |
1279 |
///
|
| 1277 |
1280 |
/// Check that the given directed graph is a DAG. The DAG is
|
| 1278 |
1281 |
/// an Directed Acyclic Digraph.
|
| 1279 |
1282 |
/// \return %False when the graph is not DAG.
|
| 1280 |
1283 |
/// \see acyclic
|
| 1281 |
1284 |
template <typename Digraph>
|
| 1282 |
|
bool dag(const Digraph& graph) {
|
|
1285 |
bool dag(const Digraph& digraph) {
|
| 1283 |
1286 |
|
| 1284 |
1287 |
checkConcept<concepts::Digraph, Digraph>();
|
| 1285 |
1288 |
|
| 1286 |
1289 |
typedef typename Digraph::Node Node;
|
| 1287 |
1290 |
typedef typename Digraph::NodeIt NodeIt;
|
| 1288 |
1291 |
typedef typename Digraph::Arc Arc;
|
| 1289 |
1292 |
|
| 1290 |
1293 |
typedef typename Digraph::template NodeMap<bool> ProcessedMap;
|
| 1291 |
1294 |
|
| 1292 |
1295 |
typename Dfs<Digraph>::template SetProcessedMap<ProcessedMap>::
|
| 1293 |
|
Create dfs(graph);
|
|
1296 |
Create dfs(digraph);
|
| 1294 |
1297 |
|
| 1295 |
|
ProcessedMap processed(graph);
|
|
1298 |
ProcessedMap processed(digraph);
|
| 1296 |
1299 |
dfs.processedMap(processed);
|
| 1297 |
1300 |
|
| 1298 |
1301 |
dfs.init();
|
| 1299 |
|
for (NodeIt it(graph); it != INVALID; ++it) {
|
|
1302 |
for (NodeIt it(digraph); it != INVALID; ++it) {
|
| 1300 |
1303 |
if (!dfs.reached(it)) {
|
| 1301 |
1304 |
dfs.addSource(it);
|
| 1302 |
1305 |
while (!dfs.emptyQueue()) {
|
| 1303 |
1306 |
Arc edge = dfs.nextArc();
|
| 1304 |
|
Node target = graph.target(edge);
|
|
1307 |
Node target = digraph.target(edge);
|
| 1305 |
1308 |
if (dfs.reached(target) && !processed[target]) {
|
| 1306 |
1309 |
return false;
|
| 1307 |
1310 |
}
|
| 1308 |
1311 |
dfs.processNextArc();
|
| 1309 |
1312 |
}
|
| 1310 |
1313 |
}
|
| ... |
... |
@@ -1377,13 +1380,13 @@
|
| 1377 |
1380 |
return false;
|
| 1378 |
1381 |
}
|
| 1379 |
1382 |
}
|
| 1380 |
1383 |
return true;
|
| 1381 |
1384 |
}
|
| 1382 |
1385 |
|
| 1383 |
|
namespace _topology_bits {
|
|
1386 |
namespace _connectivity_bits {
|
| 1384 |
1387 |
|
| 1385 |
1388 |
template <typename Digraph>
|
| 1386 |
1389 |
class BipartiteVisitor : public BfsVisitor<Digraph> {
|
| 1387 |
1390 |
public:
|
| 1388 |
1391 |
typedef typename Digraph::Arc Arc;
|
| 1389 |
1392 |
typedef typename Digraph::Node Node;
|
| ... |
... |
@@ -1446,13 +1449,13 @@
|
| 1446 |
1449 |
/// or not. The \ref Bfs algorithm is used to calculate the result.
|
| 1447 |
1450 |
/// \param graph The undirected graph.
|
| 1448 |
1451 |
/// \return %True if \c graph is bipartite, %false otherwise.
|
| 1449 |
1452 |
/// \sa bipartitePartitions
|
| 1450 |
1453 |
template<typename Graph>
|
| 1451 |
1454 |
inline bool bipartite(const Graph &graph){
|
| 1452 |
|
using namespace _topology_bits;
|
|
1455 |
using namespace _connectivity_bits;
|
| 1453 |
1456 |
|
| 1454 |
1457 |
checkConcept<concepts::Graph, Graph>();
|
| 1455 |
1458 |
|
| 1456 |
1459 |
typedef typename Graph::NodeIt NodeIt;
|
| 1457 |
1460 |
typedef typename Graph::ArcIt ArcIt;
|
| 1458 |
1461 |
|
| ... |
... |
@@ -1486,13 +1489,13 @@
|
| 1486 |
1489 |
/// \param graph The undirected graph.
|
| 1487 |
1490 |
/// \retval partMap A writable bool map of nodes. It will be set as the
|
| 1488 |
1491 |
/// two partitions of the graph.
|
| 1489 |
1492 |
/// \return %True if \c graph is bipartite, %false otherwise.
|
| 1490 |
1493 |
template<typename Graph, typename NodeMap>
|
| 1491 |
1494 |
inline bool bipartitePartitions(const Graph &graph, NodeMap &partMap){
|
| 1492 |
|
using namespace _topology_bits;
|
|
1495 |
using namespace _connectivity_bits;
|
| 1493 |
1496 |
|
| 1494 |
1497 |
checkConcept<concepts::Graph, Graph>();
|
| 1495 |
1498 |
|
| 1496 |
1499 |
typedef typename Graph::Node Node;
|
| 1497 |
1500 |
typedef typename Graph::NodeIt NodeIt;
|
| 1498 |
1501 |
typedef typename Graph::ArcIt ArcIt;
|
| ... |
... |
@@ -1517,56 +1520,56 @@
|
| 1517 |
1520 |
}
|
| 1518 |
1521 |
|
| 1519 |
1522 |
/// \brief Returns true when there are not loop edges in the graph.
|
| 1520 |
1523 |
///
|
| 1521 |
1524 |
/// Returns true when there are not loop edges in the graph.
|
| 1522 |
1525 |
template <typename Digraph>
|
| 1523 |
|
bool loopFree(const Digraph& graph) {
|
| 1524 |
|
for (typename Digraph::ArcIt it(graph); it != INVALID; ++it) {
|
| 1525 |
|
if (graph.source(it) == graph.target(it)) return false;
|
|
1526 |
bool loopFree(const Digraph& digraph) {
|
|
1527 |
for (typename Digraph::ArcIt it(digraph); it != INVALID; ++it) {
|
|
1528 |
if (digraph.source(it) == digraph.target(it)) return false;
|
| 1526 |
1529 |
}
|
| 1527 |
1530 |
return true;
|
| 1528 |
1531 |
}
|
| 1529 |
1532 |
|
| 1530 |
1533 |
/// \brief Returns true when there are not parallel edges in the graph.
|
| 1531 |
1534 |
///
|
| 1532 |
1535 |
/// Returns true when there are not parallel edges in the graph.
|
| 1533 |
1536 |
template <typename Digraph>
|
| 1534 |
|
bool parallelFree(const Digraph& graph) {
|
| 1535 |
|
typename Digraph::template NodeMap<bool> reached(graph, false);
|
| 1536 |
|
for (typename Digraph::NodeIt n(graph); n != INVALID; ++n) {
|
| 1537 |
|
for (typename Digraph::OutArcIt e(graph, n); e != INVALID; ++e) {
|
| 1538 |
|
if (reached[graph.target(e)]) return false;
|
| 1539 |
|
reached.set(graph.target(e), true);
|
|
1537 |
bool parallelFree(const Digraph& digraph) {
|
|
1538 |
typename Digraph::template NodeMap<bool> reached(digraph, false);
|
|
1539 |
for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) {
|
|
1540 |
for (typename Digraph::OutArcIt a(digraph, n); a != INVALID; ++a) {
|
|
1541 |
if (reached[digraph.target(a)]) return false;
|
|
1542 |
reached.set(digraph.target(a), true);
|
| 1540 |
1543 |
}
|
| 1541 |
|
for (typename Digraph::OutArcIt e(graph, n); e != INVALID; ++e) {
|
| 1542 |
|
reached.set(graph.target(e), false);
|
|
1544 |
for (typename Digraph::OutArcIt a(digraph, n); a != INVALID; ++a) {
|
|
1545 |
reached.set(digraph.target(a), false);
|
| 1543 |
1546 |
}
|
| 1544 |
1547 |
}
|
| 1545 |
1548 |
return true;
|
| 1546 |
1549 |
}
|
| 1547 |
1550 |
|
| 1548 |
1551 |
/// \brief Returns true when there are not loop edges and parallel
|
| 1549 |
1552 |
/// edges in the graph.
|
| 1550 |
1553 |
///
|
| 1551 |
1554 |
/// Returns true when there are not loop edges and parallel edges in
|
| 1552 |
1555 |
/// the graph.
|
| 1553 |
1556 |
template <typename Digraph>
|
| 1554 |
|
bool simpleDigraph(const Digraph& graph) {
|
| 1555 |
|
typename Digraph::template NodeMap<bool> reached(graph, false);
|
| 1556 |
|
for (typename Digraph::NodeIt n(graph); n != INVALID; ++n) {
|
|
1557 |
bool simpleDigraph(const Digraph& digraph) {
|
|
1558 |
typename Digraph::template NodeMap<bool> reached(digraph, false);
|
|
1559 |
for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) {
|
| 1557 |
1560 |
reached.set(n, true);
|
| 1558 |
|
for (typename Digraph::OutArcIt e(graph, n); e != INVALID; ++e) {
|
| 1559 |
|
if (reached[graph.target(e)]) return false;
|
| 1560 |
|
reached.set(graph.target(e), true);
|
|
1561 |
for (typename Digraph::OutArcIt a(digraph, n); a != INVALID; ++a) {
|
|
1562 |
if (reached[digraph.target(a)]) return false;
|
|
1563 |
reached.set(digraph.target(a), true);
|
| 1561 |
1564 |
}
|
| 1562 |
|
for (typename Digraph::OutArcIt e(graph, n); e != INVALID; ++e) {
|
| 1563 |
|
reached.set(graph.target(e), false);
|
|
1565 |
for (typename Digraph::OutArcIt a(digraph, n); a != INVALID; ++a) {
|
|
1566 |
reached.set(digraph.target(a), false);
|
| 1564 |
1567 |
}
|
| 1565 |
1568 |
reached.set(n, false);
|
| 1566 |
1569 |
}
|
| 1567 |
1570 |
return true;
|
| 1568 |
1571 |
}
|
| 1569 |
1572 |
|
| 1570 |
1573 |
} //namespace lemon
|
| 1571 |
1574 |
|
| 1572 |
|
#endif //LEMON_TOPOLOGY_H
|
|
1575 |
#endif //LEMON_CONNECTIVITY_H
|