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Pré-Publication, Document De Travail Année : 2011

On the theta number of powers of cycle graphs

Résumé

We give a closed formula for Lovasz theta number of the powers of cycle graphs and of their complements, the circular complete graphs. As a consequence, we establish that the circular chromatic number of a circular perfect graph is computable in polynomial time. We also derive an asymptotic estimate for this theta number.
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Dates et versions

hal-00572897 , version 1 (02-03-2011)

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Christine Bachoc, Arnaud Pêcher, Alain Thiery. On the theta number of powers of cycle graphs. 2011. ⟨hal-00572897⟩
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