{
  "id": "1402.3635",
  "version": "v1",
  "published": "2014-02-15T02:00:56.000Z",
  "updated": "2014-02-15T02:00:56.000Z",
  "title": "Degree distributions for a class of Circulant graphs",
  "authors": [
    "Dongseok Kim",
    "Young Soo Kwon",
    "Jaeun Lee"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We characterize the equivalence and the weak equivalence of Cayley graphs for a finite group $\\C{A}$. Using these characterizations, we find degree distribution polynomials for weak equivalence of some graphs including 1) circulant graphs of prime power order, 2) circulant graphs of order $4p$, 3) circulant graphs of square free order and 4) Cayley graphs of order $p$ or $2p$. As an application, we find an enumeration formula for the number of weak equivalence classes of circulant graphs of prime power order, order $4p$ and square free order and Cayley graphs of order $p$ or $2p$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-15T02:00:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "circulant graphs",
      "prime power order",
      "square free order",
      "cayley graphs",
      "degree distribution polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.3635K"
    }
  }
}