{
  "id": "1910.12782",
  "version": "v1",
  "published": "2019-10-28T16:12:10.000Z",
  "updated": "2019-10-28T16:12:10.000Z",
  "title": "Zeta functions with respect to general coined quantum walk of periodic graphs",
  "authors": [
    "Takashi Komatsu",
    "Norio Konno",
    "Iwao Sato"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We define a zeta function of a graph by using the time evolution matrix of a general coined quantum walk on it, and give a determinant expression for the zeta function of a finite graph. Furthermore, we present a determinant expression for the zeta function of an (infinite) periodic graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-28T16:12:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F50",
      "05C50",
      "15A15",
      "05C60"
    ],
    "keywords": [
      "general coined quantum walk",
      "zeta function",
      "periodic graph",
      "determinant expression",
      "time evolution matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}