{
  "id": "1803.08959",
  "version": "v2",
  "published": "2018-03-23T19:54:44.000Z",
  "updated": "2020-02-27T03:35:05.000Z",
  "title": "Enumerating two permutation classes by number of cycles",
  "authors": [
    "Kassie Archer"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We enumerate permutations in the two permutation classes $\\text{Av}_n(312, 4321)$ and $\\text{Av}_n(321, 4123)$ by the number of cycles each permutation admits. We also refine this enumeration with respect to several statistics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2020-02-27T03:35:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05A15"
    ],
    "keywords": [
      "permutation classes",
      "enumerate permutations",
      "permutation admits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}