{
  "id": "1606.04502",
  "version": "v1",
  "published": "2016-06-14T19:00:10.000Z",
  "updated": "2016-06-14T19:00:10.000Z",
  "title": "Enumeration of cyclic permutations in $3 \\times 1$ grid classes",
  "authors": [
    "Kassie Archer",
    "L. -K. Lauderdale"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "A grid class consists of certain permutations whose pictorial depiction can be partitioned into increasing and decreasing parts as determined by a given matrix. In this paper we complete the enumeration of cyclic permutations in the $3 \\times 1$ grid classes and give an analog of Wilf-equivalence between these sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-14T19:00:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05A15"
    ],
    "keywords": [
      "cyclic permutations",
      "enumeration",
      "grid class consists",
      "pictorial depiction",
      "decreasing parts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}