Nondeterministic Communication Complexity of Random Boolean Functions

preprint2016arXivOpen access

Abstract

We study nondeterministic communication complexity and related concepts (fooling sets, fractional covering number) of random functions f ⁣:X×Y→{0,1}f\colon X\times Y \to \{0,1\} where each value is chosen to be 1 independently with probability p=p(n)p=p(n), n:=∣X∣=∣Y∣n := |X|=|Y|.

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