File:Sumner claw-free matching.svg

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English: Illustration for Sumner's proof that every connected 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.
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Author David Eppstein

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18 February 2009

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Date/TimeThumbnailDimensionsUserComment
current06:01, 19 February 2009Thumbnail for version as of 06:01, 19 February 2009315 × 198 (2 KB)David Eppstein{{Information |Description={{en|1=Illustration for Sumner's proof that every connected 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
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