Find a maximal matching in the graph.

A matching is a subset of edges in which no node occurs more than once. A maximal matching cannot add more edges and still be a matching.

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


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.