{
  "id": "2009.01648",
  "version": "v1",
  "published": "2020-09-03T13:27:22.000Z",
  "updated": "2020-09-03T13:27:22.000Z",
  "title": "Applications of rational difference equations to spectral graph theory",
  "authors": [
    "Elismar R. Oliveira",
    "Vilmar Trevisan"
  ],
  "comment": "14 figures, 24 pages",
  "categories": [
    "math.CO",
    "math.SP"
  ],
  "abstract": "We study a general class of recurrence relations that appear in the application of a matrix diagonalization procedure. We find general closed formula and determine analytical properties of the solutions. We finally apply these findings in several problems involving eigenvalues of graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-03T13:27:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50"
    ],
    "keywords": [
      "spectral graph theory",
      "rational difference equations",
      "application",
      "matrix diagonalization procedure",
      "recurrence relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}