{
  "id": "1008.1095",
  "version": "v3",
  "published": "2010-08-05T22:06:55.000Z",
  "updated": "2011-03-11T21:04:31.000Z",
  "title": "Complete graphs whose topological symmetry groups are polyhedral",
  "authors": [
    "Erica Flapan",
    "Blake Mellor",
    "Ramin Naimi"
  ],
  "comment": "27 pages, 12 figures; v.2 and v.3 include minor revisions",
  "journal": "Alg. Geom. Top., vol. 11, 2011, pp. 1405-1433",
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "We determine for which $m$, the complete graph $K_m$ has an embedding in $S^3$ whose topological symmetry group is isomorphic to one of the polyhedral groups: $A_4$, $A_5$, or $S_4$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-03-11T21:04:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M15",
      "57M25",
      "05C10"
    ],
    "keywords": [
      "topological symmetry group",
      "complete graph",
      "polyhedral groups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.1095F"
    }
  }
}