{
  "id": "0809.1604",
  "version": "v1",
  "published": "2008-09-09T16:48:13.000Z",
  "updated": "2008-09-09T16:48:13.000Z",
  "title": "A Simple Proof of a Conjecture of Simion",
  "authors": [
    "Yi Wang"
  ],
  "comment": "4 pages",
  "journal": "J. Combin. Theory Ser. A 100 (2002), 399--402",
  "categories": [
    "math.CO"
  ],
  "abstract": "Simion had a unimodality conjecture concerning the number of lattice paths in a rectangular grid with the Ferrers diagram of a partition removed. Hildebrand recently showed the stronger result that these numbers are log concave. Here we present a simple proof of Hildebrand's result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-09T16:48:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17"
    ],
    "keywords": [
      "simple proof",
      "log concave",
      "stronger result",
      "lattice paths",
      "ferrers diagram"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.1604W"
    }
  }
}