{
  "id": "0810.1485",
  "version": "v1",
  "published": "2008-10-08T17:09:42.000Z",
  "updated": "2008-10-08T17:09:42.000Z",
  "title": "Sumsets and the convex hull",
  "authors": [
    "Mate Matolcsi",
    "Imre Z. Ruzsa"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We extend Freiman's inequality on the cardinality of the sumset of a $d$ dimensional set. We consider different sets related by an inclusion of their convex hull, and one of them added possibly several times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-08T17:09:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B50",
      "11B75",
      "11P70"
    ],
    "keywords": [
      "convex hull",
      "extend freimans inequality",
      "dimensional set",
      "cardinality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.1485M"
    }
  }
}