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

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2 Author(s)
Bohman, T. ; Dept. of Math. Sci., Carnegie Mellon Univ., Pittsburgh, PA, USA ; Holzman, R.

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.

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Information Theory, IEEE Transactions on  (Volume:49 ,  Issue: 3 )