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@@ -376,5 +376,5 @@ |
376 | 376 |
|
377 | 377 |
\f[ \min_{X \subset V, X\not\in \{\emptyset, V\}} |
378 |
\sum_{uv\in A |
|
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\sum_{uv\in A: u\in X, v\not\in X}cap(uv) \f] |
|
379 | 379 |
|
380 | 380 |
LEMON contains several algorithms related to minimum cut problems: |
... | ... |
@@ -399,6 +399,6 @@ |
399 | 399 |
like connectivity, bipartiteness, euler property, simplicity etc. |
400 | 400 |
|
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\image html edge_biconnected_components.png |
|
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\image latex edge_biconnected_components.eps "bi-edge-connected components" width=\textwidth |
|
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\image html connected_components.png |
|
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\image latex connected_components.eps "Connected components" width=\textwidth |
|
403 | 403 |
*/ |
404 | 404 |
... | ... |
@@ -414,6 +414,6 @@ |
414 | 414 |
///The simplest way to execute the BFS algorithm is to use one of the |
415 | 415 |
///member functions called \ref run(Node) "run()".\n |
416 |
///If you need more control on the execution, first you have to call |
|
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///\ref init(), then you can add several source nodes with |
|
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///If you need better control on the execution, you have to call |
|
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///\ref init() first, then you can add several source nodes with |
|
418 | 418 |
///\ref addSource(). Finally the actual path computation can be |
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///performed with one of the \ref start() functions. |
... | ... |
@@ -1426,6 +1426,6 @@ |
1426 | 1426 |
/// The simplest way to execute the BFS algorithm is to use one of the |
1427 | 1427 |
/// member functions called \ref run(Node) "run()".\n |
1428 |
/// If you need more control on the execution, first you have to call |
|
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/// \ref init(), then you can add several source nodes with |
|
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/// If you need better control on the execution, you have to call |
|
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/// \ref init() first, then you can add several source nodes with |
|
1430 | 1430 |
/// \ref addSource(). Finally the actual path computation can be |
1431 | 1431 |
/// performed with one of the \ref start() functions. |
... | ... |
@@ -73,5 +73,9 @@ |
73 | 73 |
/// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" |
74 | 74 |
/// concept. |
75 |
#ifdef DOXYGEN |
|
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typedef GR::ArcMap<Value> FlowMap; |
|
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#else |
|
75 | 78 |
typedef typename Digraph::template ArcMap<Value> FlowMap; |
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#endif |
|
76 | 80 |
|
77 | 81 |
/// \brief Instantiates a FlowMap. |
... | ... |
@@ -88,7 +92,10 @@ |
88 | 92 |
/// The elevator type used by the algorithm. |
89 | 93 |
/// |
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/// \sa Elevator |
|
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/// \sa LinkedElevator |
|
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/// \sa Elevator, LinkedElevator |
|
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#ifdef DOXYGEN |
|
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typedef lemon::Elevator<GR, GR::Node> Elevator; |
|
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#else |
|
92 | 98 |
typedef lemon::Elevator<Digraph, typename Digraph::Node> Elevator; |
99 |
#endif |
|
93 | 100 |
|
94 | 101 |
/// \brief Instantiates an Elevator. |
... | ... |
@@ -468,6 +475,6 @@ |
468 | 475 |
/// \name Execution Control |
469 | 476 |
/// The simplest way to execute the algorithm is to call \ref run().\n |
470 |
/// If you need more control on the initial solution or the execution, |
|
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/// first you have to call one of the \ref init() functions, then |
|
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/// If you need better control on the initial solution or the execution, |
|
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/// you have to call one of the \ref init() functions first, then |
|
472 | 479 |
/// the \ref start() function. |
473 | 480 |
... | ... |
@@ -412,6 +412,6 @@ |
412 | 412 |
///The simplest way to execute the DFS algorithm is to use one of the |
413 | 413 |
///member functions called \ref run(Node) "run()".\n |
414 |
///If you need more control on the execution, first you have to call |
|
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///\ref init(), then you can add a source node with \ref addSource() |
|
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///If you need better control on the execution, you have to call |
|
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///\ref init() first, then you can add a source node with \ref addSource() |
|
416 | 416 |
///and perform the actual computation with \ref start(). |
417 | 417 |
///This procedure can be repeated if there are nodes that have not |
... | ... |
@@ -1370,6 +1370,6 @@ |
1370 | 1370 |
/// The simplest way to execute the DFS algorithm is to use one of the |
1371 | 1371 |
/// member functions called \ref run(Node) "run()".\n |
1372 |
/// If you need more control on the execution, first you have to call |
|
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/// \ref init(), then you can add a source node with \ref addSource() |
|
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/// If you need better control on the execution, you have to call |
|
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/// \ref init() first, then you can add a source node with \ref addSource() |
|
1374 | 1374 |
/// and perform the actual computation with \ref start(). |
1375 | 1375 |
/// This procedure can be repeated if there are nodes that have not |
... | ... |
@@ -585,6 +585,6 @@ |
585 | 585 |
///The simplest way to execute the %Dijkstra algorithm is to use |
586 | 586 |
///one of the member functions called \ref run(Node) "run()".\n |
587 |
///If you need more control on the execution, first you have to call |
|
588 |
///\ref init(), then you can add several source nodes with |
|
587 |
///If you need better control on the execution, you have to call |
|
588 |
///\ref init() first, then you can add several source nodes with |
|
589 | 589 |
///\ref addSource(). Finally the actual path computation can be |
590 | 590 |
///performed with one of the \ref start() functions. |
... | ... |
@@ -360,8 +360,8 @@ |
360 | 360 |
/// \c t. |
361 | 361 |
/// \code |
362 |
/// |
|
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/// GomoryHu<Graph> gom(g, capacities); |
|
363 | 363 |
/// gom.run(); |
364 | 364 |
/// int cnt=0; |
365 |
/// for( |
|
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/// for(GomoryHu<Graph>::MinCutNodeIt n(gom,s,t); n!=INVALID; ++n) ++cnt; |
|
366 | 366 |
/// \endcode |
367 | 367 |
class MinCutNodeIt |
... | ... |
@@ -457,8 +457,8 @@ |
457 | 457 |
/// \c t. |
458 | 458 |
/// \code |
459 |
/// |
|
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/// GomoryHu<Graph> gom(g, capacities); |
|
460 | 460 |
/// gom.run(); |
461 | 461 |
/// int value=0; |
462 |
/// for( |
|
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/// for(GomoryHu<Graph>::MinCutEdgeIt e(gom,s,t); e!=INVALID; ++e) |
|
463 | 463 |
/// value+=capacities[e]; |
464 | 464 |
/// \endcode |
... | ... |
@@ -489,6 +489,6 @@ |
489 | 489 |
/// The simplest way to execute the algorithm is to use |
490 | 490 |
/// one of the member functions called \c run(...). \n |
491 |
/// If you need more control on the execution, |
|
492 |
/// first you must call \ref init(), then you can add several |
|
491 |
/// If you need better control on the execution, |
|
492 |
/// you have to call \ref init() first, then you can add several |
|
493 | 493 |
/// source nodes with \ref addSource(). |
494 | 494 |
/// Finally \ref start() will perform the arborescence |
... | ... |
@@ -53,5 +53,9 @@ |
53 | 53 |
/// The type of the map that stores the flow values. |
54 | 54 |
/// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
55 |
#ifdef DOXYGEN |
|
56 |
typedef GR::ArcMap<Value> FlowMap; |
|
57 |
#else |
|
55 | 58 |
typedef typename Digraph::template ArcMap<Value> FlowMap; |
59 |
#endif |
|
56 | 60 |
|
57 | 61 |
/// \brief Instantiates a FlowMap. |
... | ... |
@@ -68,7 +72,10 @@ |
68 | 72 |
/// The elevator type used by Preflow algorithm. |
69 | 73 |
/// |
70 |
/// \sa Elevator |
|
71 |
/// \sa LinkedElevator |
|
72 |
|
|
74 |
/// \sa Elevator, LinkedElevator |
|
75 |
#ifdef DOXYGEN |
|
76 |
typedef lemon::Elevator<GR, GR::Node> Elevator; |
|
77 |
#else |
|
78 |
typedef lemon::Elevator<Digraph, typename Digraph::Node> Elevator; |
|
79 |
#endif |
|
73 | 80 |
|
74 | 81 |
/// \brief Instantiates an Elevator. |
... | ... |
@@ -390,6 +397,6 @@ |
390 | 397 |
/// The simplest way to execute the preflow algorithm is to use |
391 | 398 |
/// \ref run() or \ref runMinCut().\n |
392 |
/// If you need more control on the initial solution or the execution, |
|
393 |
/// first you have to call one of the \ref init() functions, then |
|
399 |
/// If you need better control on the initial solution or the execution, |
|
400 |
/// you have to call one of the \ref init() functions first, then |
|
394 | 401 |
/// \ref startFirstPhase() and if you need it \ref startSecondPhase(). |
395 | 402 |
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