{
  "id": "0810.0427",
  "version": "v2",
  "published": "2008-10-02T15:55:07.000Z",
  "updated": "2008-10-03T05:47:40.000Z",
  "title": "A New Bijection Between Forests and Parking Functions",
  "authors": [
    "Heesung Shin"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In 1980, G. Kreweras gave a recursive bijection between forests and parking functions. In this paper we construct a nonrecursive bijection from forests onto parking functions, which answers a question raised by R. Stanley. As a by-product, we obtain a bijective proof of Gessel and Seo's formula for lucky statistic on parking functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-10-03T05:47:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15"
    ],
    "keywords": [
      "parking functions",
      "kreweras gave",
      "seos formula",
      "lucky statistic",
      "nonrecursive bijection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.0427S"
    }
  }
}