{
  "id": "0707.0227",
  "version": "v1",
  "published": "2007-07-02T13:43:57.000Z",
  "updated": "2007-07-02T13:43:57.000Z",
  "title": "Uniformly Weighted Star-Factors of Graphs",
  "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. An {\\it edge-weighting} of $G$ is a function $w: E(G)\\longrightarrow \\mathbb{N}^+$, where $\\mathbb{N}^+$ is the set of positive integers. Let $\\Omega$ be the family of all graphs $G$ such that every star-factor of $G$ has the same weights under a fixed edge-weighting $w$. In this paper, we present a simple structural characterization of the graphs in $\\Omega$ that have girth at least five.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-02T13:43:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C69",
      "05C70"
    ],
    "keywords": [
      "uniformly weighted star-factors",
      "simple structural characterization",
      "positive integers",
      "spanning subgraph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.0227W"
    }
  }
}