{
  "id": "1102.1541",
  "version": "v1",
  "published": "2011-02-08T09:21:10.000Z",
  "updated": "2011-02-08T09:21:10.000Z",
  "title": "1234-avoiding permutations and Dyck paths",
  "authors": [
    "Marilena Barnabei",
    "Flavio Bonetti",
    "Matteo Silimbani"
  ],
  "comment": "16 pages, 8 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We define a map $\\nu$ between the symmetric group $S_n$ and the set of pairs of Dyck paths of semilength $n$. We show that the map $\\nu$ is injective when restricted to the set of 1234-avoiding permutations and characterize the image of this map.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-08T09:21:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dyck paths",
      "permutations",
      "symmetric group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.1541B"
    }
  }
}