Matching.h File Reference

Declares simple matching functions. More...

#include <ogdf/basic/Graph.h>

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Namespaces
namespace	ogdf
	The namespace for all OGDF objects.
namespace	ogdf::Matching
	Simple algorithms for matchings.

Functions
void	ogdf::Matching::findMaximalMatching (const Graph &graph, ArrayBuffer< edge > &matching)
	Obtains a maximal matching in O(|E|) time.
int	ogdf::Matching::findMaximumCardinalityMatching (const Graph &G, const List< node > &U, const List< node > &V, EdgeArray< bool > &matching)
	Finds a maximum cardinality matching in the bipartite graph G = (U+V, E) in O(sqrt(|U+V|) * |E|) time by using the Hopcroft-Karp-Karzanov algorithm.
template<typename EdgeContainer >
bool	ogdf::Matching::isMatching (const Graph &graph, const EdgeContainer &matching)
	Checks in time O(|V| + size of matching) if the given set of edges represents a matching.
template<typename EdgeContainer >
bool	ogdf::Matching::isMaximal (const Graph &graph, const EdgeContainer &matching)
	Checks in time O(|E|) if there are edges that could be added to matching.
template<typename EdgeContainer >
bool	ogdf::Matching::isMaximal (const Graph &graph, const EdgeContainer &matching, edge &addable)
	Checks in time O(|E|) if there are edges that could be added to matching.
template<typename EdgeContainer >
bool	ogdf::Matching::isMaximalMatching (const Graph &graph, const EdgeContainer &matching)
	Checks in O(|V| + |E|) time if matching is a maximal matching.
template<typename EdgeContainer >
bool	ogdf::Matching::isPerfect (const Graph &graph, const EdgeContainer &matching)
	Checks in O(1) if matching (assuming it is a matching and the graph is simple and connected) is perfect.
template<typename EdgeContainer >
bool	ogdf::Matching::isPerfectMatching (const Graph &graph, const EdgeContainer &matching)
	Checks in O(|V| + size of matching) if matching is a perfect matching.

Detailed Description

Declares simple matching functions.

Author

Stephan Beyer, Thomas Klein

License:

This file is part of the Open Graph Drawing Framework (OGDF).

Copyright (C)
See README.md in the OGDF root directory for details.

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License Version 2 or 3 as published by the Free Software Foundation; see the file LICENSE.txt included in the packaging of this file for details.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program; if not, see http://www.gnu.org/copyleft/gpl.html

Definition in file Matching.h.