English

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

Combinatorics 2017-12-29 v1

Abstract

What is the maximum number of vertices that a centrally symmetric 2-neighborly polytope of dimension dd can have? It is known that the answer does not exceed 2d2^d. Here we provide an explicit construction showing that it is at least 2d1+22^{d-1}+2.

Keywords

Cite

@article{arxiv.1712.09489,
  title  = {From acute sets to centrally symmetric $2$-neighborly polytopes},
  author = {Isabella Novik},
  journal= {arXiv preprint arXiv:1712.09489},
  year   = {2017}
}