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arXiv · 1712.09489

From acute sets to centrally symmetric $2$-neighborly polytopes

Isabella Novik
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Abstract

What is the maximum number of vertices that a centrally symmetric 2-neighborly polytope of dimension $d$ can have? It is known that the answer does not exceed $2^d$. Here we provide an explicit construction showing that it is at least $2^{d-1}+2$.

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Isabella Novik. 2017-12-27. From acute sets to centrally symmetric $2$-neighborly polytopes. https://arxiv.org/abs/1712.09489

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