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35

APPML
2011

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The fractional chromatic number of Zykov products of graphs

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$The fractional chromatic number of Zykov products of graphs$

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Zykov designed one of the oldest known family of triangle-free graphs with arbitrarily high chromatic number. We determine the fractional chromatic number of the Zykov product of a family of graphs. As a corollary, we deduce that the fractional chromatic numbers of the Zykov graphs satisfy the same recurrence relation as those of the Mycielski graphs, that is an+1 = an + 1 an . This solves a conjecture of Jacobs.

Pierre Charbit, Jean-Sébastien Sereni

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APPML 2011 | Chromatic Numbers | Fractional Chromatic Numbers | Oldest Known Family | Software Engineering |

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Added	12 May 2011
Updated	12 May 2011
Type	Journal
Year	2011
Where	APPML
Authors	Pierre Charbit, Jean-Sébastien Sereni

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