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On the theta number of powers of cycle graphs

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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Oskar Bordeaux

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Last time updated on 18/11/2021

This paper was published in Oskar Bordeaux.

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