{
  "id": "1301.1303",
  "version": "v2",
  "published": "2013-01-07T18:56:58.000Z",
  "updated": "2015-04-09T19:09:16.000Z",
  "title": "On Packing Densities of Set Partitions",
  "authors": [
    "Adam M. Goyt",
    "Lara K. Pudwell"
  ],
  "comment": "12 pages, to appear in the Permutation Patterns edition of the Australasian Journal of Combinatorics",
  "categories": [
    "math.CO"
  ],
  "abstract": "We study packing densities for set partitions, which is a generalization of packing words. We use results from the literature about packing densities for permutations and words to provide packing densities for set partitions. These results give us most of the packing densities for partitions of the set $\\{1,2,3\\}$. In the final section we determine the packing density of the set partition $\\{\\{1,3\\},\\{2\\}\\}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-07T18:56:58.000Z",
      "comment": "11 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-09T19:09:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05A18"
    ],
    "keywords": [
      "packing density",
      "set partition",
      "final section",
      "study packing densities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}