{
  "id": "1203.6807",
  "version": "v1",
  "published": "2012-03-30T13:19:33.000Z",
  "updated": "2012-03-30T13:19:33.000Z",
  "title": "Enumeration of saturated chains in Dyck lattices",
  "authors": [
    "Luca Ferrari",
    "Emanuele Munarini"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO",
    "cs.FL"
  ],
  "abstract": "We determine a general formula to compute the number of saturated chains in Dyck lattices, and we apply it to find the number of saturated chains of length 2 and 3. We also compute what we call the Hasse index (of order 2 and 3) of Dyck lattices, which is the ratio between the total number of saturated chains (of length 2 and 3) and the cardinality of the underlying poset.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-30T13:19:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A05",
      "06A07"
    ],
    "keywords": [
      "saturated chains",
      "dyck lattices",
      "enumeration",
      "hasse index",
      "general formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.6807F"
    }
  }
}