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1 /* -*- mode: C++; indent-tabs-mode: nil; -*- |
1 /* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 * |
2 * |
3 * This file is a part of LEMON, a generic C++ optimization library. |
3 * This file is a part of LEMON, a generic C++ optimization library. |
4 * |
4 * |
5 * Copyright (C) 2003-2009 |
5 * Copyright (C) 2003-2011 |
6 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
6 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 * (Egervary Research Group on Combinatorial Optimization, EGRES). |
7 * (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 * |
8 * |
9 * Permission to use, modify and distribute this software is granted |
9 * Permission to use, modify and distribute this software is granted |
10 * provided that this copyright notice appears in all copies. For |
10 * provided that this copyright notice appears in all copies. For |
273 @ingroup algs |
273 @ingroup algs |
274 \brief Algorithms for finding shortest paths. |
274 \brief Algorithms for finding shortest paths. |
275 |
275 |
276 This group contains the algorithms for finding shortest paths in digraphs. |
276 This group contains the algorithms for finding shortest paths in digraphs. |
277 |
277 |
278 - \ref Dijkstra Dijkstra's algorithm for finding shortest paths from a |
278 - \ref Dijkstra Dijkstra's algorithm for finding shortest paths from a |
279 source node when all arc lengths are non-negative. |
279 source node when all arc lengths are non-negative. |
280 - \ref Suurballe A successive shortest path algorithm for finding |
280 - \ref Suurballe A successive shortest path algorithm for finding |
281 arc-disjoint paths between two nodes having minimum total length. |
281 arc-disjoint paths between two nodes having minimum total length. |
282 */ |
282 */ |
283 |
283 |
304 \ref Preflow implements the preflow push-relabel algorithm of Goldberg and |
304 \ref Preflow implements the preflow push-relabel algorithm of Goldberg and |
305 Tarjan for solving this problem. It also provides functions to query the |
305 Tarjan for solving this problem. It also provides functions to query the |
306 minimum cut, which is the dual problem of maximum flow. |
306 minimum cut, which is the dual problem of maximum flow. |
307 |
307 |
308 |
308 |
309 \ref Circulation is a preflow push-relabel algorithm implemented directly |
309 \ref Circulation is a preflow push-relabel algorithm implemented directly |
310 for finding feasible circulations, which is a somewhat different problem, |
310 for finding feasible circulations, which is a somewhat different problem, |
311 but it is strongly related to maximum flow. |
311 but it is strongly related to maximum flow. |
312 For more information, see \ref Circulation. |
312 For more information, see \ref Circulation. |
313 */ |
313 */ |
314 |
314 |