{
  "id": "1402.4715",
  "version": "v2",
  "published": "2014-02-19T16:22:51.000Z",
  "updated": "2014-09-17T14:07:27.000Z",
  "title": "An Asymptotic Formula for the Number of Integer Points in Multi-Index Transportation Polytopes",
  "authors": [
    "David Benson-Putnins"
  ],
  "comment": "34 pages",
  "categories": [
    "math.CO",
    "math.MG"
  ],
  "abstract": "For a wide class of $k_1\\times k_2....\\times k_{\\nu}$ multi-index transportation polytopes, we count the number of integer points contained in them. A simple closed form approximation is given whose relative error is asymptotically zero as the $k_j$s go to infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-19T16:22:51.000Z",
      "comment": "28 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-17T14:07:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A16",
      "52B55",
      "52C07"
    ],
    "keywords": [
      "multi-index transportation polytopes",
      "asymptotic formula",
      "simple closed form approximation",
      "wide class",
      "integer points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.4715B"
    }
  }
}