{
  "id": "2010.14349",
  "version": "v1",
  "published": "2020-10-27T15:04:45.000Z",
  "updated": "2020-10-27T15:04:45.000Z",
  "title": "Star edge-coloring of some special graphs",
  "authors": [
    "Xuling Hou",
    "Lingxi Li",
    "Tao Wang"
  ],
  "comment": "13 pages",
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "abstract": "The star chromatic index of a multigraph $G$, denoted by $\\chi_{\\mathrm{star}}'(G)$, is the minimum number of colors needed to properly color the edges of $G$ such that no path or cycle of length $4$ is bicolored. In this paper, we study the star edge-coloring of Halin graphs, $k$-power graphs and the generalized Petersen graphs $P(3n, n)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-27T15:04:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C15"
    ],
    "keywords": [
      "special graphs",
      "star edge-coloring",
      "star chromatic index",
      "generalized petersen graphs",
      "power graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}