On Lipschitz Bijections Between Boolean Functions

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چکیده

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On Lipschitz Bijections between Boolean Functions

Given two functions f, g : {0, 1}n → {0, 1} a mapping ψ : {0, 1}n → {0, 1}n is said to be a mapping from f to g if it is a bijection and f(z) = g(ψ(z)) for every z ∈ {0, 1}n. In this paper we study Lipschitz mappings between boolean functions. Our first result gives a construction of a C-Lipschitz mapping from the Majority function to the Dictator function for some universal constant C. On the ...

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ژورنال

عنوان ژورنال: Combinatorics, Probability and Computing

سال: 2017

ISSN: 0963-5483,1469-2163

DOI: 10.1017/s0963548317000578