{
  "id": "math/0608752",
  "version": "v2",
  "published": "2006-08-30T09:11:01.000Z",
  "updated": "2006-09-25T10:58:32.000Z",
  "title": "Totally geodesic subgraphs of the pants complex",
  "authors": [
    "Javier Aramayona",
    "Hugo Parlier",
    "Kenneth J. Shackleton"
  ],
  "comment": "13 pages, 6 figures. Minor changes in exposition, one reference added",
  "categories": [
    "math.GT",
    "math.CO",
    "math.MG"
  ],
  "abstract": "Our main theorem asserts that every Farey graph embedded in the 1-skeleton of the pants complex of any finite type surface is totally geodesic.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-09-25T10:58:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "05C12"
    ],
    "keywords": [
      "totally geodesic subgraphs",
      "pants complex",
      "main theorem asserts",
      "finite type surface",
      "farey graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8752A"
    }
  }
}