On the theta number of powers of cycle graphs

Christine Bachoc 1 Arnaud Pêcher 2, 3 Alain Thiery 1
2 Realopt - Reformulations based algorithms for Combinatorial Optimization
LaBRI - Laboratoire Bordelais de Recherche en Informatique, IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
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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Submitted on : Wednesday, March 2, 2011 - 2:20:16 PM
Last modification on : Thursday, January 11, 2018 - 6:22:12 AM
Long-term archiving on : Tuesday, May 31, 2011 - 2:26:31 AM

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  • HAL Id : hal-00572897, version 1
  • ARXIV : 1103.0444

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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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