{
  "id": "2210.13262",
  "version": "v1",
  "published": "2022-10-24T14:03:20.000Z",
  "updated": "2022-10-24T14:03:20.000Z",
  "title": "On the Ihara expression of graph zeta functions",
  "authors": [
    "Ayaka Ishikawa",
    "Hideaki Morita"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We consider the generalized weighted zeta function for a finite digraph, and show that it has the Ihara expression, a determinant expression of graph zeta functions, with a certain specified definition for inverse arcs. A finite digraph in this paper allows multi-arcs or multi-loops.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-24T14:03:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "graph zeta functions",
      "ihara expression",
      "finite digraph",
      "inverse arcs",
      "generalized weighted zeta function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}