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On face numbers of neighborly cubical polytopes

Combinatorics 2015-01-14 v3

Abstract

Neighborly cubical polytopes are known as the cubical analogues of the cyclic polytopes. Using the short cubical hh-vectors of cubical polytopes (introduced by Adin), we derive an explicit formula for the face numbers of the neighborly cubical polytopes. These face numbers form a unimodal sequence.

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Cite

@article{arxiv.1310.3881,
  title  = {On face numbers of neighborly cubical polytopes},
  author = {Laszlo Major},
  journal= {arXiv preprint arXiv:1310.3881},
  year   = {2015}
}

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5 pages