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Sensitivity versus block sensitivity of Boolean functions

2010

Determining the maximal separation between sensitivity and block sensitivity of Boolean functions is of interest for computational complexity theory. We construct a sequence of Boolean functions with bs(f) = 1/2 s(f)^2 + 1/2 s(f). The best known separation previously was bs(f) = 1/2 s(f)^2 due to Rubinstein. We also report results of computer search for functions with at most 12 variables.

FOS: Computer and information sciencesSequenceComputational complexity theoryBlock (permutation group theory)Computational Complexity (cs.CC)Computer Science ApplicationsTheoretical Computer ScienceCombinatoricsComputer Science - Computational ComplexitySignal ProcessingTheory of computationSensitivity (control systems)Boolean functionAlgorithmComputer searchInformation SystemsMathematics
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