{
  "id": "1310.3881",
  "version": "v3",
  "published": "2013-10-14T23:55:18.000Z",
  "updated": "2015-01-13T14:55:26.000Z",
  "title": "On face numbers of neighborly cubical polytopes",
  "authors": [
    "Laszlo Major"
  ],
  "comment": "5 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Neighborly cubical polytopes are known as the cubical analogues of the cyclic polytopes. Using the short cubical $h$-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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-03T22:39:21.000Z",
      "abstract": "Neighborly cubical polytopes are known as the cubical analogues of the cyclic polytopes. We define a vector analogous to the $h$-vector of the cyclic polytopes in order to derive an explicit formula for the face numbers of the neighborly cubical polytopes. These face numbers form a unimodal sequence.",
      "comment": "4 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-01-13T14:55:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "52B11"
    ],
    "keywords": [
      "neighborly cubical polytopes",
      "cyclic polytopes",
      "face numbers form",
      "explicit formula",
      "unimodal sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.3881M"
    }
  }
}