{
  "id": "1907.02870",
  "version": "v1",
  "published": "2019-07-05T14:49:13.000Z",
  "updated": "2019-07-05T14:49:13.000Z",
  "title": "Invariant graphs of rational maps",
  "authors": [
    "Guizhen Cui",
    "Yan Gao",
    "Jinsong Zeng"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $f$ be a postcritically finite rational map. We prove that, as $n$ large enough, there exists an $f^n$-invariant (finite connected) graph on $\\widehat{\\mathbb{C}}$ such that it contains the postcritical set of $f$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-05T14:49:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant graphs",
      "postcritically finite rational map",
      "postcritical set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}