{
  "id": "0710.1183",
  "version": "v1",
  "published": "2007-10-05T10:50:53.000Z",
  "updated": "2007-10-05T10:50:53.000Z",
  "title": "Connectivity of Addition Cayley Graphs",
  "authors": [
    "David J. Grynkiewicz",
    "Oriol Serra",
    "Vsevolod Lev"
  ],
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "For any finite abelian group $G$ and any subset $S\\seq G$, we determine the connectivity of the addition Cayley graph induced by $S$ on $G$. Moreover, we show that if this graph is not complete, then it possesses a minimum vertex cut of a special, explicitly described form.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-05T10:50:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B75",
      "05C25",
      "11P70"
    ],
    "keywords": [
      "connectivity",
      "finite abelian group",
      "minimum vertex cut",
      "addition cayley graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.1183G"
    }
  }
}