A Bound on the Shannon Capacity via a Linear Programming Variation

Research paper by Sihuang Hu, Itzhak Tamo, Ofer Shayevitz

Indexed on: 16 Apr '18Published on: 16 Apr '18Published in: arXiv - Computer Science - Information Theory

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.