{
  "id": "math/0608391",
  "version": "v1",
  "published": "2006-08-15T14:44:20.000Z",
  "updated": "2006-08-15T14:44:20.000Z",
  "title": "Simple permutations and algebraic generating functions",
  "authors": [
    "Robert Brignall",
    "Sophie Huczynska",
    "Vincent Vatter"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "A simple permutation is one that does not map a nontrivial interval onto an interval. It was recently proved by Albert and Atkinson that a permutation class with only finitely simple permutations has an algebraic generating function. We extend this result to enumerate permutations in such a class satisfying additional properties, e.g., the even permutations, the involutions, the permutations avoiding generalised permutations, and so on.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-15T14:44:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic generating function",
      "class satisfying additional properties",
      "enumerate permutations",
      "finitely simple permutations",
      "nontrivial interval"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8391B"
    }
  }
}