{
  "id": "0801.0658",
  "version": "v2",
  "published": "2008-01-04T11:11:15.000Z",
  "updated": "2010-02-06T11:34:27.000Z",
  "title": "On Potentially 3-regular graph graphic Sequences",
  "authors": [
    "Lili Hu",
    "Chunhui Lai"
  ],
  "comment": "19 pages",
  "journal": "Utilitas Mathematica, 80 (2009), 33 - 51",
  "categories": [
    "math.CO"
  ],
  "abstract": "For given a graph $H$, a graphic sequence $\\pi=(d_1,d_2,...,d_n)$ is said to be potentially $H$-graphic if there exists a realization of $\\pi$ containing $H$ as a subgraph. In this paper, we characterize the potentially $H$-graphic sequences where $H$ denotes 3-regular graph with 6 vertices. In other words, we characterize the potentially $K_{3,3}$ and $K_6-C_6$-graphic sequences where $K_{r,r}$ is an $r\\times r$ complete bipartite graph. One of these characterizations implies a theorem due to Yin [25].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-02-06T11:34:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C07",
      "05C35"
    ],
    "keywords": [
      "graph graphic sequences",
      "complete bipartite graph",
      "characterizations implies",
      "realization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.0658H"
    }
  }
}