{
  "id": "1007.1014",
  "version": "v1",
  "published": "2010-07-06T22:50:30.000Z",
  "updated": "2010-07-06T22:50:30.000Z",
  "title": "Subclasses of the separable permutations",
  "authors": [
    "Michael H. Albert",
    "M. D. Atkinson",
    "Vincent Vatter"
  ],
  "doi": "10.1112/blms/bdr022",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove that all subclasses of the separable permutations not containing Av(231) or a symmetry of this class have rational generating functions. Our principal tools are partial well-order, atomicity, and the theory of strongly rational permutation classes introduced here for the first time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-06T22:50:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "separable permutations",
      "subclasses",
      "strongly rational permutation classes",
      "first time",
      "rational generating functions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.1014A"
    }
  }
}