No More Than 2^d+1-2 Nearly Neighbourly Simplices in ℝ^d

Discrete & Computational Geometry(2020)

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摘要
We prove a combinatorial theorem on families of disjoint sub-boxes of a discrete cube, which implies that there are at most 2^d+1-2 nearly neighbourly simplices in ℝ^d .
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关键词
Nearly neighbourly simplices,Fourier transform,Boolean functions
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