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The fractional chromatic number of triangle-free subcubic graphs

Ferguson, David G. and Kaiser, Tomáš and Král’, Daniel (2014) The fractional chromatic number of triangle-free subcubic graphs. European Journal of Combinatorics, 35. pp. 184-220. ISSN 0195-6698

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Identification Number: 10.1016/j.ejc.2013.06.006

Abstract

Heckman and Thomas conjectured that the fractional chromatic number of any triangle-free subcubic graph is at most 14 / 5. Improving on estimates of Hatami and Zhu and of Lu and Peng, we prove that the fractional chromatic number of any triangle-free subcubic graph is at most 32 / 11 ≈ 2.909.

Item Type: Article
Official URL: http://www.journals.elsevier.com/european-journal-...
Additional Information: © 2013 Elsevier B.V.
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Date Deposited: 16 Jul 2013 12:28
Last Modified: 12 May 2014 11:26
URI: http://eprints.lse.ac.uk/id/eprint/51104

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