{
  "id": "1208.3965",
  "version": "v1",
  "published": "2012-08-20T10:30:05.000Z",
  "updated": "2012-08-20T10:30:05.000Z",
  "title": "The least eigenvalues of signless Laplacian of non-bipartite graphs with pendant vertices",
  "authors": [
    "Yi-Zheng Fan",
    "Yi Wang",
    "Huan Guo"
  ],
  "journal": "Discrete Mathematics,2013, 313(7), 903-909",
  "doi": "10.1016/j.disc.2013.01.002",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we determine the graph whose least eigenvalue of signless Laplacian attains the minimum or maximum among all connected non-bipartite graphs of fixed order and given number of pendant vertices. Thus we obtain a lower bound and an upper bound for the least eigenvalue of signless Laplacian of a graph in terms of the number of pendent vertices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-20T10:30:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50",
      "15A18"
    ],
    "keywords": [
      "pendant vertices",
      "eigenvalue",
      "pendent vertices",
      "upper bound",
      "signless laplacian attains"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.3965F"
    }
  }
}