{
  "id": "1309.2191",
  "version": "v1",
  "published": "2013-09-09T15:23:56.000Z",
  "updated": "2013-09-09T15:23:56.000Z",
  "title": "The Cardinality of Sumsets: Different Summands",
  "authors": [
    "Brendan Murphy",
    "Eyvindur Ari Palsson",
    "Giorgis Petridis"
  ],
  "comment": "23 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let h be a positive integer and A, B_1, B_2,..., B_h be finite sets in a commutative group. We bound |A+B_1+...+B_h| from above in terms of |A|, |A+B_1|,...,|A+B_h| and h. Extremal examples, which demonstrate that the bound is asymptotically sharp in all the parameters, are furthermore provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-09T15:23:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cardinality",
      "finite sets",
      "extremal examples",
      "parameters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.2191M"
    }
  }
}