{
  "id": "0803.3840",
  "version": "v3",
  "published": "2008-03-26T23:28:34.000Z",
  "updated": "2009-11-21T15:37:06.000Z",
  "title": "Set families with a forbidden subposet",
  "authors": [
    "Boris Bukh"
  ],
  "comment": "10 pages, 1 figure, motivation and details expanded, final version",
  "categories": [
    "math.CO"
  ],
  "abstract": "We asymptotically determine the size of the largest family F of subsets of {1,...,n} not containing a given poset P if the Hasse diagram of P is a tree. This is a qualitative generalization of several known results including Sperner's theorem.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-11-21T15:37:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06A07",
      "05D05"
    ],
    "keywords": [
      "forbidden subposet",
      "set families",
      "hasse diagram",
      "sperners theorem",
      "asymptotically determine"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3840B"
    }
  }
}