{
  "id": "1511.03513",
  "version": "v1",
  "published": "2015-11-11T14:25:34.000Z",
  "updated": "2015-11-11T14:25:34.000Z",
  "title": "The spectrum of an I-graph",
  "authors": [
    "Allana S. S. de Oliveira",
    "Cybele T. M. Vinagre"
  ],
  "comment": "16 pages, 1 figure",
  "categories": [
    "math.CO"
  ],
  "abstract": "We completely determine the spectrum of an $I$-graph, that is, the eigenvalues of its adjacency matrix. We apply our result to prove known characterizations of connectedness and bipartiteness in $I$-graphs by using an spectral approach. With our result, we also determine the nullity of a certain subfamily of $I$-graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-11T14:25:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50",
      "15B05"
    ],
    "keywords": [
      "spectral approach",
      "adjacency matrix",
      "characterizations",
      "connectedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151103513D"
    }
  }
}