Warning

This documents an unmaintained version of NetworkX. Please upgrade to a maintained version and see the current NetworkX documentation.

maximal_matching

maximal_matching(G)

Find a maximal cardinality matching in the graph.

A matching is a subset of edges in which no node occurs more than once. The cardinality of a matching is the number of matched edges.

Parameters:G (NetworkX graph) – Undirected graph Returns:matching – A maximal matching of the graph. Return type:set

Notes

The algorithm greedily selects a maximal matching M of the graph G (i.e. no superset of M exists). It runs in \(O(|E|)\) time.