{
  "id": "1604.06931",
  "version": "v1",
  "published": "2016-04-23T18:11:32.000Z",
  "updated": "2016-04-23T18:11:32.000Z",
  "title": "Faces of graphical zonotopes",
  "authors": [
    "Vladimir Grujić"
  ],
  "comment": "9 pages; 3 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "It is a classical fact that the number of vertices of the graphical zonotope $Z_\\Gamma$ is equal to the number of acyclic orientations of a graph $\\Gamma$. We show that the $f$-polynomial of $Z_\\Gamma$ is obtained as the principal specialization of the $q$-analog of the chromatic symmetric function of $\\Gamma$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-23T18:11:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B05",
      "16T05"
    ],
    "keywords": [
      "graphical zonotope",
      "chromatic symmetric function",
      "acyclic orientations",
      "principal specialization",
      "polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160406931G"
    }
  }
}