{
  "id": "math/9812024",
  "version": "v1",
  "published": "1998-12-03T14:09:53.000Z",
  "updated": "1998-12-03T14:09:53.000Z",
  "title": "A classification of centrally-symmetric and cyclic 12-vertex triangulations of $S^2 \\times S^2$",
  "authors": [
    "G. Lassmann",
    "E. Sparla"
  ],
  "comment": "12 pages, 3 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper our main result states that there exist exactly three combinatorially distinct centrally-symmetric 12-vertex-triangulations of the product of two 2-spheres with a cyclic symmetry. We also compute the automorphism groups of the triangulations. These instances suggest that there is a triangulation of $S^2 \\times S^2$ with 11 vertices -- the minimum number of vertices required.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-12-03T14:09:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57Q15",
      "52B70"
    ],
    "keywords": [
      "triangulation",
      "classification",
      "main result states",
      "minimum number",
      "automorphism groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....12024L"
    }
  }
}