File:Sumner claw-free matching.svg

Summary

Description
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.
Date
Source Own work
Author David Eppstein

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Category:Self-published work#Sumner%20claw-free%20matching.svgCategory:PD-self#Sumner%20claw-free%20matching.svg Category:Matching (graph theory) Category:Undirected planar graphs Category:Files by User:David Eppstein from en.wikipedia
Category:Files by User:David Eppstein from en.wikipedia Category:Matching (graph theory) Category:PD-self Category:Self-published work Category:Undirected planar graphs