{
  "id": "1112.0748",
  "version": "v1",
  "published": "2011-12-04T12:15:44.000Z",
  "updated": "2011-12-04T12:15:44.000Z",
  "title": "A Note on $\\{k,n-k\\}$-Factors of Regular Graphs",
  "authors": [
    "Hongliang Lu",
    "David G. L. Wang"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $r$ be an odd integer, and $k$ an even integer. In this note, we present $r$-regular graphs which have no $\\{k,r-k\\}$-factors for all $1\\le k\\le {r\\over2}-1$. This gives a negative answer to a problem posed by Akbari and Kano recently.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-04T12:15:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C75"
    ],
    "keywords": [
      "regular graphs",
      "odd integer",
      "negative answer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.0748L"
    }
  }
}