{
  "id": "1803.11351",
  "version": "v2",
  "published": "2018-03-30T06:14:51.000Z",
  "updated": "2018-05-09T23:35:14.000Z",
  "title": "Irregular triangulations of complete graphs on 12s vertices in orientable surfaces",
  "authors": [
    "Timothy Sun"
  ],
  "comment": "7 pages, 4 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We present a family of index 1 abelian current graphs whose derived embeddings can be modified into triangulations of $K_{12s}$ for $s \\geq 4$. Our construction is significantly simpler than previous methods for finding genus embeddings of $K_{12s}$, which utilized either large index or nonabelian groups.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2018-05-09T23:35:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complete graphs",
      "12s vertices",
      "irregular triangulations",
      "orientable surfaces",
      "abelian current graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}