{
  "id": "1704.04343",
  "version": "v1",
  "published": "2017-04-14T04:04:10.000Z",
  "updated": "2017-04-14T04:04:10.000Z",
  "title": "The de Bruijn-Erdös theorem in incidence geometry via Ph. Hall's marriage theorem",
  "authors": [
    "Nikolai V. Ivanov"
  ],
  "comment": "4 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The paper is devoted to a proof of the de Bruijn-Erd\\\"os theorem in incidence geometry based on the Ph. Hall's marriage theorem (the theorem about the systems of distinct representatives).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-14T04:04:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B25",
      "51E26"
    ],
    "keywords": [
      "halls marriage theorem",
      "incidence geometry",
      "bruijn-erdös theorem",
      "distinct representatives"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}