{
  "id": "1504.00997",
  "version": "v1",
  "published": "2015-04-04T09:41:17.000Z",
  "updated": "2015-04-04T09:41:17.000Z",
  "title": "Graded Betti numbers of cycle graphs and standard Young tableaux",
  "authors": [
    "Steven Klee",
    "Matthew T. Stamps"
  ],
  "comment": "4 pages",
  "categories": [
    "math.CO",
    "math.AC"
  ],
  "abstract": "We give a bijective proof that the Betti numbers of a minimal free resolution of the Stanley-Reisner ring of a cycle graph (viewed as a one-dimensional simplicial complex) are given by the number of standard Young tableaux of a given shape.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-04T09:41:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "standard young tableaux",
      "graded betti numbers",
      "cycle graph",
      "one-dimensional simplicial complex",
      "minimal free resolution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150400997K"
    }
  }
}