{
  "id": "1111.3515",
  "version": "v1",
  "published": "2011-11-15T12:21:14.000Z",
  "updated": "2011-11-15T12:21:14.000Z",
  "title": "Automorphisms of trivalent graphs",
  "authors": [
    "Silvia Benvenuti",
    "Riccardo Piergallini"
  ],
  "comment": "28 pages, 35 eps figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $G_{g,b}$ be the set of all uni/trivalent graphs representing the combinatorial structures of pant decompositions of the oriented surface of genus $g$ with $b$ boundary components. We describe the set $A_{g,b}$ of all automorphisms of graphs in $G_{g,b}$ showing that, up to suitable moves changing the graph within $G_{g,b}$, any such automorphism can be reduced to elementary switches of adjacent edges.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-15T12:21:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B25",
      "57M50",
      "05C25"
    ],
    "keywords": [
      "automorphism",
      "pant decompositions",
      "boundary components",
      "combinatorial structures",
      "elementary switches"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.3515B"
    }
  }
}