{
  "id": "2502.06144",
  "version": "v1",
  "published": "2025-02-10T04:19:38.000Z",
  "updated": "2025-02-10T04:19:38.000Z",
  "title": "On finite approximations of transitive graphs",
  "authors": [
    "Andreas Thom"
  ],
  "comment": "3 pages",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "In this note we answer a question of Johannes Carmesin, which was circulated at the Oberwolfach Workshop on \"Graph Theory\" in January 2025. We provide a unimodular, locally finite, and vertex-transitive graph without any perfect finite $r$-local model for $r \\in \\mathbb N$ large enough.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-02-10T04:19:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite approximations",
      "transitive graphs",
      "local model",
      "johannes carmesin",
      "graph theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}