{
  "id": "2008.01317",
  "version": "v1",
  "published": "2020-08-04T04:01:12.000Z",
  "updated": "2020-08-04T04:01:12.000Z",
  "title": "Coronae graphs and their $α$-eigenvalues",
  "authors": [
    "Muhammad Ateeq Tahir",
    "Xiao-Dong Zhang"
  ],
  "comment": "15 pages, 3figures",
  "journal": "Bull. Malays. Math. Sci. Soc. 43 (2020) 2911-2927",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $G_1$ and $G_2$ be two simple connected graphs. The invariant \\textit{coronal} of graph is used in order to determine the $\\alpha$-eigenvalues of four different types of graph equations that are $G_1 \\circ G_2, G_1\\lozenge G_1$ and the other two`s are $G_1 \\odot G_2$ and $G_1 \\circleddash G_2$ which are obtained using the $R$-graph of $G_1$. As an application we construct infinitely many pairs of non-isomorphic $\\alpha$-Isospectral graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-04T04:01:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50"
    ],
    "keywords": [
      "coronae graphs",
      "eigenvalues",
      "simple connected graphs",
      "isospectral graph"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}