{
  "id": "math/0312217",
  "version": "v2",
  "published": "2003-12-10T17:46:31.000Z",
  "updated": "2003-12-11T16:57:13.000Z",
  "title": "Proof of two conjectures of Zuber on fully packed loop configurations",
  "authors": [
    "F. Caselli",
    "C. Krattenthaler"
  ],
  "comment": "20 pages; AmS-LaTeX",
  "journal": "J. Combin. Theory Ser. A 108 (2004), 123-146.",
  "categories": [
    "math.CO",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Two conjectures of Zuber [``On the counting of fully packed loops configurations. Some new conjectures,'' preprint] on the enumeration of configurations in the fully packed loop model on the square grid with periodic boundary conditions, which have a prescribed linkage pattern, are proved. Following an idea of de Gier [``Loops, matchings and alternating-sign matrices,'' Discrete Math., to appear], the proofs are based on bijections between such fully packed loop configurations and rhombus tilings, and the hook-content formula for semistandard tableaux.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-12-11T16:57:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05B45",
      "05E05",
      "05E10",
      "82B23"
    ],
    "keywords": [
      "fully packed loop configurations",
      "conjectures",
      "periodic boundary conditions",
      "packed loops configurations",
      "semistandard tableaux"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12217C"
    }
  }
}