{
  "id": "0908.2641",
  "version": "v4",
  "published": "2009-08-18T21:13:25.000Z",
  "updated": "2011-08-29T14:29:59.000Z",
  "title": "Chain enumeration of $k$-divisible noncrossing partitions of classical types",
  "authors": [
    "Jang Soo Kim"
  ],
  "comment": "23 pages, 9 figures, final version",
  "journal": "J. Combin. Theory Ser. A 118 (2011) 879-898",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give combinatorial proofs of the formulas for the number of multichains in the $k$-divisible noncrossing partitions of classical types with certain conditions on the rank and the block size due to Krattenthaler and M{\\\"u}ller. We also prove Armstrong's conjecture on the zeta polynomial of the poset of $k$-divisible noncrossing partitions of type $A$ invariant under a $180^\\circ$ rotation in the cyclic representation.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-08-29T14:29:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05E15"
    ],
    "keywords": [
      "divisible noncrossing partitions",
      "classical types",
      "chain enumeration",
      "armstrongs conjecture",
      "zeta polynomial"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.2641K"
    }
  }
}