Abstract
Motivated by its relation to the length of cutting plane proofs for the Maximum Biclique problem, we consider the following communication game on a given graph G with maximum bipartite clique size K. Two parties separately receive disjoint subsets A, B of vertices such that |A|+|B|>K. The goal is to identify a nonedge between A and B. We prove that O(logn) bits of communication are enough for any n-vertex graph.
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