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kpeter (Peter Kovacs)
kpeter@inf.elte.hu
Small doc improvements (#257)
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- \ref Preflow Goldberg-Tarjan's preflow push-relabel algorithm.
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- \ref DinitzSleatorTarjan Dinitz's blocking flow algorithm with dynamic trees.
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- \ref GoldbergTarjan Preflow push-relabel algorithm with dynamic trees.
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In most cases the \ref Preflow "Preflow" algorithm provides the
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fastest method for computing a maximum flow. All implementations
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provides functions to also query the minimum cut, which is the dual
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problem of the maximum flow.
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also provide functions to query the minimum cut, which is the dual
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problem of maximum flow.
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\ref Circulation is a preflow push-relabel algorithm implemented directly 
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for finding feasible circulations, which is a somewhat different problem,
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but it is strongly related to maximum flow.
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For more information, see \ref Circulation.
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*/
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/**
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@defgroup min_cost_flow Minimum Cost Flow Algorithms
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@ingroup algs
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\image latex bipartite_matching.eps "Bipartite Matching" width=\textwidth
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*/
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/**
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@defgroup spantree Minimum Spanning Tree Algorithms
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@ingroup algs
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\brief Algorithms for finding a minimum cost spanning tree in a graph.
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\brief Algorithms for finding minimum cost spanning trees and arborescences.
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This group contains the algorithms for finding a minimum cost spanning
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tree in a graph.
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This group contains the algorithms for finding minimum cost spanning
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trees and arborescences.
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*/
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/**
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@defgroup auxalg Auxiliary Algorithms
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@ingroup algs
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\brief Auxiliary algorithms implemented in LEMON.
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non-commercial applications under very permissive
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\ref license "license terms".
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</b>
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\subsection howtoread How to read the documentation
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If you want to get a quick start and see the most important features then
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take a look at our \ref quicktour
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"Quick Tour to LEMON" which will guide you along.
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If you already feel like using our library, see the
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If you would like to get to know the library, see
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<a class="el" href="http://lemon.cs.elte.hu/pub/tutorial/">LEMON Tutorial</a>.
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If you know what you are looking for then try to find it under the
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If you know what you are looking for, then try to find it under the
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<a class="el" href="modules.html">Modules</a> section.
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If you are a user of the old (0.x) series of LEMON, please check out the
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\ref migration "Migration Guide" for the backward incompatibilities.
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*/
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    }
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    /// \brief Start Edmonds' algorithm
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    ///
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    /// This function runs the original Edmonds' algorithm.
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    ///
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    /// \pre \ref Init(), \ref greedyInit() or \ref matchingInit() must be
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    /// \pre \ref init(), \ref greedyInit() or \ref matchingInit() must be
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    /// called before using this function.
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    void startSparse() {
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      for(NodeIt n(_graph); n != INVALID; ++n) {
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        if ((*_status)[n] == UNMATCHED) {
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          (*_blossom_rep)[_blossom_set->insert(n)] = n;
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          _tree_set->insert(n);
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    /// \brief Start Edmonds' algorithm with a heuristic improvement 
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    /// for dense graphs
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    ///
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    /// This function runs Edmonds' algorithm with a heuristic of postponing
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    /// shrinks, therefore resulting in a faster algorithm for dense graphs.
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    ///
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    /// \pre \ref Init(), \ref greedyInit() or \ref matchingInit() must be
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    /// \pre \ref init(), \ref greedyInit() or \ref matchingInit() must be
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    /// called before using this function.
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    void startDense() {
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      for(NodeIt n(_graph); n != INVALID; ++n) {
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        if ((*_status)[n] == UNMATCHED) {
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          (*_blossom_rep)[_blossom_set->insert(n)] = n;
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          _tree_set->insert(n);
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