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An Improvement of Hind's Upper Bound on the Total Chromatic Number

Published online by Cambridge University Press:  12 September 2008

Amanda Chetwynd  and
Roland Häggkvist
Amanda Chetwynd
Affiliation:
Department of Mathematics, University of Lancaster, Lancaster LAI 4YF, UK
Roland Häggkvist
Affiliation:
Department of Mathematics, University of Umeå, S-901 87 Umeå, Sweden
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Abstract

We show that the total chromatic number of a simple k-chromatic graph exceeds the chromatic index by at most 18k ⅓ log ½ 3k.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 5 , Issue 2 , June 1996 , pp. 99 - 104
Copyright
Copyright © Cambridge University Press 1996

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References

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