Any monotone property of 3-uniform hypergraphs is weakly evasive

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Any Monotone Property of 3-Uniform Hypergraphs Is Weakly Evasive

For a Boolean function f, let D(f) denote its deterministic decision tree complexity, i.e., minimum number of (adaptive) queries required in worst case in order to determine f. In a classic paper, Rivest and Vuillemin [19] show that any non-constant monotone property P : {0, 1}( n 2) → {0, 1} of n-vertex graphs has D(P) = Ω(n). We extend their result to 3-uniform hypergraphs. In particular, we ...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2015

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2014.11.012