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arXiv · 1103.0444

On the theta number of powers of cycle graphs

Christine Bachoc·Arnaud Pêcher·Alain Thiéry
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Abstract

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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Christine Bachoc, Arnaud Pêcher, Alain Thiéry. 2011-03-02. On the theta number of powers of cycle graphs. https://arxiv.org/abs/1103.0444

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