Changeset 871:86613aa28a0c in lemon1.2 for lemon/fractional_matching.h
 Timestamp:
 03/04/10 10:17:02 (10 years ago)
 Branch:
 default
 Phase:
 public
 File:

 1 edited
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lemon/fractional_matching.h
r869 r871 112 112 /// 113 113 /// The primal solution is multiplied by 114 /// \ref Max WeightedMatching::primalScale "2".114 /// \ref MaxFractionalMatching::primalScale "2". 115 115 /// 116 116 /// \tparam GR The undirected graph type the algorithm runs on. … … 633 633 /// 634 634 /// This class provides an efficient implementation of fractional 635 /// matching algorithm. The implementation is based on extensive use 636 /// of priority queues and provides \f$O(nm\log n)\f$ time 637 /// complexity. 635 /// matching algorithm. The implementation uses priority queues and 636 /// provides \f$O(nm\log n)\f$ time complexity. 638 637 /// 639 638 /// The maximum weighted fractional matching is a relaxation of the … … 654 653 /// \f[ y_u + y_v \ge w_{uv} \quad \forall uv\in E\f] 655 654 /// \f[y_u \ge 0 \quad \forall u \in V\f] 656 /// \f[\min \sum_{u \in V}y_u \f] ///655 /// \f[\min \sum_{u \in V}y_u \f] 657 656 /// 658 657 /// The algorithm can be executed with the run() function. … … 662 661 /// If the value type is integer, then the primal and the dual 663 662 /// solutions are multiplied by 664 /// \ref MaxWeighted Matching::primalScale "2" and665 /// \ref MaxWeighted Matching::dualScale "4" respectively.663 /// \ref MaxWeightedFractionalMatching::primalScale "2" and 664 /// \ref MaxWeightedFractionalMatching::dualScale "4" respectively. 666 665 /// 667 666 /// \tparam GR The undirected graph type the algorithm runs on. … … 1271 1270 /// \brief Run the algorithm. 1272 1271 /// 1273 /// This method runs the \c %MaxWeighted Matching algorithm.1272 /// This method runs the \c %MaxWeightedFractionalMatching algorithm. 1274 1273 /// 1275 1274 /// \note mwfm.run() is just a shortcut of the following code. … … 1401 1400 /// 1402 1401 /// This class provides an efficient implementation of fractional 1403 /// matching algorithm. The implementation is based on extensive use 1404 /// of priority queues and provides \f$O(nm\log n)\f$ time 1405 /// complexity. 1402 /// matching algorithm. The implementation uses priority queues and 1403 /// provides \f$O(nm\log n)\f$ time complexity. 1406 1404 /// 1407 1405 /// The maximum weighted fractional perfect matching is a relaxation … … 1421 1419 /// problem is the following. 1422 1420 /// \f[ y_u + y_v \ge w_{uv} \quad \forall uv\in E\f] 1423 /// \f[\min \sum_{u \in V}y_u \f] ///1421 /// \f[\min \sum_{u \in V}y_u \f] 1424 1422 /// 1425 1423 /// The algorithm can be executed with the run() function. … … 1429 1427 /// If the value type is integer, then the primal and the dual 1430 1428 /// solutions are multiplied by 1431 /// \ref MaxWeighted Matching::primalScale "2" and1432 /// \ref MaxWeighted Matching::dualScale "4" respectively.1429 /// \ref MaxWeightedPerfectFractionalMatching::primalScale "2" and 1430 /// \ref MaxWeightedPerfectFractionalMatching::dualScale "4" respectively. 1433 1431 /// 1434 1432 /// \tparam GR The undirected graph type the algorithm runs on. … … 2006 2004 /// \brief Run the algorithm. 2007 2005 /// 2008 /// This method runs the \c %MaxWeightedMatching algorithm. 2006 /// This method runs the \c %MaxWeightedPerfectFractionalMatching 2007 /// algorithm. 2009 2008 /// 2010 2009 /// \note mwfm.run() is just a shortcut of the following code.
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