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The independence number of an edge-chromatic critical graph

✍ Scribed by Douglas R. Woodall

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 77 KB
Volume: 66
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.20493

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✦ Synopsis

A graph G with maximum degree and edge chromatic number (G)> is edge--critical if (G -e) = for every edge e of G. It is proved here that the vertex independence number of an edge--critical graph of order n is less than 3 5 n. For large , this improves on the best bound previously known, which was roughly 2 3 n; the bound conjectured by Vizing, which would be best possible, is 1 2 n.

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