{
  "id": "0906.0123",
  "version": "v1",
  "published": "2009-05-31T00:01:01.000Z",
  "updated": "2009-05-31T00:01:01.000Z",
  "title": "A de Bruijn - Erdős theorem and metric spaces",
  "authors": [
    "Ehsan Chiniforooshan",
    "Vašek Chvátal"
  ],
  "journal": "Discrete Mathematics & Theoretical Computer Science Vol 13 No 1 (2011), 67 - 74",
  "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. Chen and Chv\\'atal suggested a possible generalization of this theorem in the framework of metric spaces. We provide partial results in this direction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-31T00:01:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05D99",
      "52C10"
    ],
    "keywords": [
      "metric spaces",
      "erdős theorem",
      "partial results",
      "noncollinear set",
      "distinct lines"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.0123C"
    }
  }
}