{
  "id": "math/0211314",
  "version": "v1",
  "published": "2002-11-20T11:50:14.000Z",
  "updated": "2002-11-20T11:50:14.000Z",
  "title": "Intersecting Families of Separated Sets",
  "authors": [
    "John Talbot"
  ],
  "comment": "21 pages. To appear in the Journal of the London Mathematical Society",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove a conjecture due to Holroyd and Johnson that an analogue of the Erdos-Ko-Rado theorem holds for k-separated sets. In particular this determines the independence number of the vertex-critical subgraph of the Kneser graph identified by Schrijver, the collection of separated sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-20T11:50:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05D05",
      "05C65"
    ],
    "keywords": [
      "intersecting families",
      "erdos-ko-rado theorem holds",
      "independence number",
      "kneser graph",
      "k-separated sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11314T"
    }
  }
}