{
  "id": "math/0610036",
  "version": "v1",
  "published": "2006-10-01T05:08:07.000Z",
  "updated": "2006-10-01T05:08:07.000Z",
  "title": "Problems related to a de Bruijn - Erdős theorem",
  "authors": [
    "Xiaomin Chen",
    "Vašek Chvátal"
  ],
  "comment": "11 pages. See also http://www.cs.concordia.ca/~chvatal/dbe.pdf",
  "journal": "Discrete Applied Mathematics 156 (2008), 2101 - 2108",
  "categories": [
    "math.CO",
    "math.MG"
  ],
  "abstract": "De Bruijn and Erd\\H{o}s proved that every noncollinear set of n points in the plane determines at least n distinct lines. We suggest a possible generalization of this theorem in the framework of metric spaces and provide partial results on related extremal combinatorial problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-01T05:08:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05D05",
      "51F99"
    ],
    "keywords": [
      "erdős theorem",
      "related extremal combinatorial problems",
      "plane determines",
      "partial results"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10036C"
    }
  }
}