{
  "id": "0911.2288",
  "version": "v2",
  "published": "2009-11-12T03:15:13.000Z",
  "updated": "2010-08-08T19:15:59.000Z",
  "title": "Counting MSTD Sets in Finite Abelian Groups",
  "authors": [
    "Yufei Zhao"
  ],
  "comment": "17 pages",
  "journal": "Journal of Number Theory. Volume 130, Issue 10, October 2010, Pages 2308-2322",
  "doi": "10.1016/j.jnt.2010.06.001",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In an abelian group G, a more sums than differences (MSTD) set is a subset A of G such that |A+A|>|A-A|. We provide asymptotics for the number of MSTD sets in finite abelian groups, extending previous results of Nathanson. The proof contains an application of a recently resolved conjecture of Alon and Kahn on the number of independent sets in a regular graph.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-08-08T19:15:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P99",
      "05C69"
    ],
    "keywords": [
      "finite abelian groups",
      "counting mstd sets",
      "independent sets",
      "proof contains",
      "regular graph"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.2288Z"
    }
  }
}