{
  "id": "1501.02452",
  "version": "v1",
  "published": "2015-01-11T12:07:14.000Z",
  "updated": "2015-01-11T12:07:14.000Z",
  "title": "A construction of small (q-1)-regular graphs of girth 8",
  "authors": [
    "M. Abreu",
    "G. Araujo-Pardo",
    "C. Balbuena",
    "D. Labbate"
  ],
  "comment": "8 pages, 2 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this note we construct a new infinite family of $(q-1)$-regular graphs of girth $8$ and order $2q(q-1)^2$ for all prime powers $q\\ge 16$, which are the smallest known so far whenever $q-1$ is not a prime power or a prime power plus one itself.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-11T12:07:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C35",
      "05C69"
    ],
    "keywords": [
      "construction",
      "prime power plus",
      "regular graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}