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Perfect matching

A perfect matching for a connected graph is a matching, or subset of edges without common vertices, which touch all vertices exactly once. A graph with an odd number of vertices is allowed one unmatched vertex.

Note: Since a complete undirected, connected graph without self-loops has n(n-1)/2 edges, where n is the number of vertices, a perfect match consists of n/2 edges. The name of the term comes from matching each vertex with exactly one other vertex.

Referenced By

List of combinatorics topics | List of mathematical topics (P-R)

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Perfect matching".

 

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