{
  "id": "1705.00134",
  "version": "v1",
  "published": "2017-04-29T05:56:46.000Z",
  "updated": "2017-04-29T05:56:46.000Z",
  "title": "Reflexive polytopes arising from partially ordered sets and perfect graphs",
  "authors": [
    "Takayuki Hibi",
    "Akiyoshi Tsuchiya"
  ],
  "comment": "10 pages. arXiv admin note: text overlap with arXiv:1703.04410",
  "categories": [
    "math.CO",
    "math.AC"
  ],
  "abstract": "Reflexive polytopes which possess the integer decomposition property are of interest. By virtue of the algebraic technique on Gr\\\"obner bases, a new class of reflexive polytopes with the integer decomposition property coming from order polytopes of finite partially ordered sets and stable polytopes of perfect graphs will be studied. Furthermore, the discussion on Ehrhart $\\delta$-polynomials of these reflexive polytopes will be achieved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-29T05:56:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13P10",
      "52B20"
    ],
    "keywords": [
      "perfect graphs",
      "reflexive polytopes arising",
      "finite partially ordered sets",
      "order polytopes",
      "integer decomposition property coming"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}