Simple algorithms for matchings (testing properties, obtaining a maximal matching) More...
Functions | |
void | ogdf::Matching::findMaximalMatching (const Graph &graph, ArrayBuffer< edge > &matching) |
Obtains a maximal matching in O(|E|) time. More... | |
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. More... | |
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 . More... | |
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. More... | |
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. More... | |
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. More... | |
Simple algorithms for matchings (testing properties, obtaining a maximal matching)
void ogdf::Matching::findMaximalMatching | ( | const Graph & | graph, |
ArrayBuffer< edge > & | matching | ||
) |
Obtains a maximal matching in O(|E|) time.
|
inline |
Checks in time O(|V| + size of matching
) if the given set of edges represents a matching.
Definition at line 44 of file Matching.h.
|
inline |
Checks in time O(|E|) if there are edges that could be added to matching
.
Definition at line 91 of file Matching.h.
|
inline |
Checks in O(|V| + |E|) time if matching
is a maximal matching.
Definition at line 99 of file Matching.h.
|
inline |
Checks in O(1) if matching
(assuming it is a matching and the graph is simple and connected) is perfect.
Definition at line 106 of file Matching.h.
|
inline |
Checks in O(|V| + size of matching
) if matching
is a perfect matching.
Definition at line 113 of file Matching.h.