rustworkx.is_maximal_matching

is_maximal_matching(graph, matching, /)

Check if a matching is a maximal (not maximum) matching for a graph

A maximal matching in a graph is a matching in which adding any edge would cause the set to no longer be a valid matching.

Note

This is not checking for a maximum (globally optimal) matching, but a maximal (locally optimal) matching.

Parameters:

• graph (PyDiGraph) – The graph to check if the matching is maximal for.

• matching (set) – A set of node index tuples for each edge in the matching.

Returns:

Whether the provided matching is a valid matching and whether it is maximal or not.

Return type:

bool