{
  "id": "1108.5690",
  "version": "v2",
  "published": "2011-08-29T18:22:13.000Z",
  "updated": "2013-09-15T01:44:08.000Z",
  "title": "On a Subposet of the Tamari Lattice",
  "authors": [
    "Sebastian A. Csar",
    "Rik Sengupta",
    "Warut Suksompong"
  ],
  "comment": "21 pages",
  "doi": "10.1007/s11083-013-9305-5",
  "categories": [
    "math.CO"
  ],
  "abstract": "We explore some of the properties of a subposet of the Tamari lattice introduced by Pallo, which we call the comb poset. We show that three binary functions that are not well-behaved in the Tamari lattice are remarkably well-behaved within an interval of the comb poset: rotation distance, meets and joins, and the common parse words function for a pair of trees. We relate this poset to a partial order on the symmetric group studied by Edelman.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-15T01:44:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tamari lattice",
      "comb poset",
      "common parse words function",
      "binary functions",
      "partial order"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.5690C"
    }
  }
}