{
  "id": "1409.3165",
  "version": "v1",
  "published": "2014-09-10T18:10:16.000Z",
  "updated": "2014-09-10T18:10:16.000Z",
  "title": "Wilf-classification of mesh patterns of short length",
  "authors": [
    "Ísak Hilmarsson",
    "Ingibjörg Jónsdóttir",
    "Steinunn Sigurðardóttir",
    "Lína Viðarsdóttir",
    "Henning Ulfarsson"
  ],
  "comment": "28 pages, 3 figures",
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "abstract": "This paper starts the Wilf-classification of mesh patterns of length 2. Although there are initially 1024 patterns to consider we introduce automatic methods to reduce the number of potentially different Wilf-classes to at most 65. By enumerating some of the remaining classes we bring that upper-bound further down to 56. Finally, we conjecture that the actual number of Wilf-classes of mesh patterns of length 2 is 46.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-10T18:10:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05A15"
    ],
    "keywords": [
      "mesh patterns",
      "short length",
      "wilf-classification",
      "wilf-classes",
      "paper starts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.3165H"
    }
  }
}