{
  "id": "1901.07443",
  "version": "v1",
  "published": "2019-01-22T16:11:18.000Z",
  "updated": "2019-01-22T16:11:18.000Z",
  "title": "The $h^*$-polynomial of the order polytope of the zig-zag poset",
  "authors": [
    "Jane Ivy Coons",
    "Seth Sullivant"
  ],
  "comment": "16 pages, 2 figures",
  "categories": [
    "math.CO",
    "math.AC"
  ],
  "abstract": "We describe a family of shellings for the canonical triangulation of the order polytope of the zig-zag poset. This gives a combinatorial interpretation for the coefficients in the numerator of the generating functions for OEIS A050446 in terms of the swap statistic on alternating permutations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-22T16:11:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "order polytope",
      "zig-zag poset",
      "polynomial",
      "combinatorial interpretation",
      "oeis a050446"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}