{
  "id": "1801.09075",
  "version": "v1",
  "published": "2018-01-27T11:50:19.000Z",
  "updated": "2018-01-27T11:50:19.000Z",
  "title": "On Yamada polynomial of spatial graphs obtained by edge replacements",
  "authors": [
    "Miaowang Li",
    "Fengchun Lei",
    "Fengling Li",
    "Andrei Vesnin"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We present formulae for computing the Yamada polynomial of spatial graphs obtained by replacing edges of plane graphs, such as cycle-graphs, theta-graphs, and bouquet-graphs, by spatial parts. As a corollary, it is shown that zeros of Yamada polynomials of some series of spatial graphs are dense in a certain region in the complex plane, described by a system of inequalities. Also, the relation between Yamada polynomial of graphs and the chain polynomial of edge-labelled graphs is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-27T11:50:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "yamada polynomial",
      "spatial graphs",
      "edge replacements",
      "plane graphs",
      "spatial parts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}