An improvement of Hind's upper bound on the total chromatic number.

Chetwynd, Amanda G. and Haggkvist, Roland A. (1996) An improvement of Hind's upper bound on the total chromatic number. Combinatorics, Probability and Computing, 5 (2). pp. 99-104. ISSN 0963-5483

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Official URL: https://doi.org/10.1017/S0963548300001899

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.

Item Type:

Journal Article

Journal or Publication Title:

Combinatorics, Probability and Computing

Uncontrolled Keywords:

/dk/atira/pure/researchoutput/libraryofcongress/qa

Subjects:

?? COMPUTATIONAL THEORY AND MATHEMATICSTHEORETICAL COMPUTER SCIENCEAPPLIED MATHEMATICSSTATISTICS AND PROBABILITYQA MATHEMATICS ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics
VC's Office

ID Code:

20770

Deposited By:

Prof Amanda Chetwynd

Deposited On:

26 Nov 2008 12:16

Refereed?:

Published?:

Published

Last Modified:

21 Sep 2023 00:39

URI:

https://eprints.lancs.ac.uk/id/eprint/20770