{
  "id": "math/0506520",
  "version": "v1",
  "published": "2005-06-24T22:28:03.000Z",
  "updated": "2005-06-24T22:28:03.000Z",
  "title": "Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I",
  "authors": [
    "Ekkehard G. Köhler",
    "Frank H. Lutz"
  ],
  "comment": "74 pages, 1 figure",
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "We describe an algorithm for the enumeration of (candidates of) vertex-transitive combinatorial $d$-manifolds. With an implementation of our algorithm, we determine, up to combinatorial equivalence, all combinatorial manifolds with a vertex-transitive automorphism group on $n\\leq 13$ vertices. With the exception of actions of groups of small order, the enumeration is extended to 14 and 15 vertices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-24T22:28:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57Q15",
      "20B25"
    ],
    "keywords": [
      "vertex-transitive triangulations",
      "triangulated manifolds",
      "enumeration",
      "combinatorial equivalence",
      "combinatorial manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 74,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6520K"
    }
  }
}