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Edge-chromatic critical graphs and the existence of 1-factors

✍ Scribed by S. A. Choudum

Publisher: John Wiley and Sons
Year: 1993
Tongue: English
Weight: 300 KB
Volume: 17
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190170104

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✦ Synopsis

Abstract

We give examples of edge‐chromatic critical graphs G of the following types: (i) of even order and having no 1‐factor, and (ii) of odd order and having a vertex v of minimum degree such that G − v has no 1‐factor. The first disproves a conjecture of S. Fiorini and R. J. Wilson, and the second answers a question of A. G. Chetwynd and H. P. Yap in the negative. © 1993 John Wiley & Sons, Inc.

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