{
  "id": "2001.08596",
  "version": "v1",
  "published": "2020-01-23T15:25:53.000Z",
  "updated": "2020-01-23T15:25:53.000Z",
  "title": "Spectra of infinite graphs: two methods of computation",
  "authors": [
    "Leonid Golinskii"
  ],
  "comment": "43 pages, 13 figures",
  "categories": [
    "math.CO",
    "math.SP"
  ],
  "abstract": "Two method for computation of the spectra of certain infinite graphs are suggested. The first one can be viewed as a reversed Gram--Schmidt orthogonalization procedure. It relies heavily on the spectral theory of Jacobi matrices. The second method is related to the Schur complement for block matrices. A number of examples including infinite graphs with tails, chains of cycles and ladders are worked out in detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-23T15:25:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C63",
      "05C76",
      "47B36",
      "47B15",
      "47A10"
    ],
    "keywords": [
      "infinite graphs",
      "computation",
      "reversed gram-schmidt orthogonalization procedure",
      "spectral theory",
      "second method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}