A Bound on the Shannon Capacity via a Linear Programming Variation

Published 16 Apr 2018 in cs.IT, math.CO, and math.IT | (1804.05529v1)

Abstract: We prove an upper bound on the Shannon capacity of a graph via a linear programming variation. We show that our bound can outperform both the Lov\'asz theta number and the Haemers minimum rank bound. As a by-product, we also obtain a new upper bound on the broadcast rate of Index Coding.

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