An explicit construction for neighborly centrally symmetric polytopes

Julian Pfeifle

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An explicit construction for neighborly centrally symmetric polytopes

Julian Pfeifle

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Abstract

We give an explicit construction, based on Hadamard matrices, for an infinite series of floor{sqrt{d}/2}-neighborly centrally symmetric d-dimensional polytopes with 4d vertices. This appears to be the best explicit version yet of a recent probabilistic result due to Linial and Novik, who proved the existence of such polytopes with a neighborliness of d/400.

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Julian Pfeifle. 2006-06-29. An explicit construction for neighborly centrally symmetric polytopes. https://arxiv.org/abs/math/0606748

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