A nontrivial lower bound on the Shannon capacities of the complements of odd cycles

  • Authors:

  • T. Bohman;R. Holzman

  • Affiliations:

  • Dept. of Math. Sci., Carnegie Mellon Univ., Pittsburgh, PA, USA;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

This article contains a construction for independent sets in the powers of the complements of odd cycles. In particular, we show that α(C~2n+3(2n))≥2(2n)+1. It follows that for n≥0 we have Θ(C~2n+3)2, where Θ(G) denotes the Shannon (1956) capacity of graph G.