{
  "id": "math/0512131",
  "version": "v1",
  "published": "2005-12-06T17:54:41.000Z",
  "updated": "2005-12-06T17:54:41.000Z",
  "title": "Unimodality and convexity of f-vectors of polytopes",
  "authors": [
    "Axel Werner"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We consider unimodality and related properties of f-vectors of polytopes in various dimensions. By a result of Kalai (1988), f-vectors of 5-polytopes are unimodal. In higher dimensions much less can be said; we give an overview on current results and present a potentially interesting construction as well as a conjecture arising from this.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-06T17:54:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B05"
    ],
    "keywords": [
      "unimodality",
      "higher dimensions",
      "current results",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12131W"
    }
  }
}