{
  "id": "math/0107007",
  "version": "v1",
  "published": "2001-07-02T12:44:14.000Z",
  "updated": "2001-07-02T12:44:14.000Z",
  "title": "Irreducibility of spatial graphs",
  "authors": [
    "Kouki Taniyama"
  ],
  "comment": "4 pages, 4 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "A graph embedded in the 3-sphere is called irreducible if it is non-splittable and for any 2-sphere embedded in the 3-sphere that intersects the graph at one point the graph is contained in one of the 3-balls bounded by the 2-sphere. We show that irreducibility is preserved under certain deformations of embedded graphs. We show that certain embedded graphs are irreducible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-07-02T12:44:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "spatial graphs",
      "irreducibility"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......7007T"
    }
  }
}