{
  "id": "0707.0224",
  "version": "v1",
  "published": "2007-07-02T13:27:04.000Z",
  "updated": "2007-07-02T13:27:04.000Z",
  "title": "Uniform Star-factors of Graphs with Girth Three",
  "authors": [
    "Yunjian Wu",
    "Qinglin Yu"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "A {\\it star-factor} of a graph $G$ is a spanning subgraph of $G$ such that each component of which is a star. Recently, Hartnell and Rall studied a family $\\mathscr{U}$ of graphs satisfying the property that every star-factor of a member graph has the same number of edges. They determined the family $\\mathscr{U}$ when the girth is at least five. In this paper, we investigate the family of graphs with girth three and determine all members of this family.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-02T13:27:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C69",
      "05C70"
    ],
    "keywords": [
      "uniform star-factors",
      "member graph",
      "spanning subgraph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.0224W"
    }
  }
}