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Keywords: Sumner claw-free matching.svg claw-free graph of even order has a perfect matching if v is a farthest vertex from u and w is a neighbor of v that is as far from u as possible then removing v and w from the graph leaves the rest connected so repeatedly removing matched pairs in this way eventually forms a perfect matching Own David Eppstein 2009-02-18 Matching graph theory Undirected planar graphs Files by User David Eppstein from en wikipedia |