{
  "id": "1106.4597",
  "version": "v2",
  "published": "2011-06-22T23:38:57.000Z",
  "updated": "2011-07-25T16:55:18.000Z",
  "title": "Unimodality of f-vectors of cyclic polytopes",
  "authors": [
    "László Major"
  ],
  "comment": "3 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Cyclic polytopes are generally known for being involved in the Upper Bound Theorem, but they have another extremal property which is less well known. Namely, the special shape of their f-vectors makes them applicable to certain constructions to present non-unimodal convex polytopes. Nevertheless, the f-vectors of cyclic polytopes themselves are unimodal.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-25T16:55:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "52B11"
    ],
    "keywords": [
      "cyclic polytopes",
      "unimodality",
      "upper bound theorem",
      "non-unimodal convex polytopes",
      "extremal property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.4597M"
    }
  }
}