{
  "id": "1407.5818",
  "version": "v1",
  "published": "2014-07-22T11:17:57.000Z",
  "updated": "2014-07-22T11:17:57.000Z",
  "title": "The Laplacian Eigenvalues and Invariants of Graphs",
  "authors": [
    "Rong-Ying Pan",
    "Jing Yan",
    "Xiao-Dong Zhang"
  ],
  "comment": "10 pages,Filomat, 2014",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we investigate some relations between the invariants (including vertex and edge connectivity and forwarding indices) of a graph and its Laplacian eigenvalues. In addition, we present a sufficient condition for the existence of Hamiltonicity in a graph involving its Laplacian eigenvalues.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-22T11:17:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50"
    ],
    "keywords": [
      "laplacian eigenvalues",
      "invariants",
      "edge connectivity",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.5818P"
    }
  }
}