{
  "id": "0807.2815",
  "version": "v2",
  "published": "2008-07-17T16:03:19.000Z",
  "updated": "2009-06-22T21:44:15.000Z",
  "title": "Permutation classes of every growth rate above 2.48188",
  "authors": [
    "Vincent Vatter"
  ],
  "comment": "Several minor changes, as well as a change in title. To appear in Mathematika",
  "doi": "10.1112/S0025579309000503",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove that there are permutation classes (hereditary properties of permutations) of every growth rate (Stanley-Wilf limit) at least \\lambda \\approx 2.48187, the unique real root of x^5-2x^4-2x^2-2x-1, thereby establishing a conjecture of Albert and Linton.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-22T21:44:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "growth rate",
      "permutation classes",
      "unique real root",
      "hereditary properties",
      "stanley-wilf limit"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.2815V"
    }
  }
}