{
  "id": "math/9909026",
  "version": "v2",
  "published": "1999-09-03T14:55:42.000Z",
  "updated": "1999-09-06T07:43:02.000Z",
  "title": "Towards a characterisation of Pfaffian graphs",
  "authors": [
    "Charles H. C. Little",
    "Franz Rendl",
    "Ilse Fischer"
  ],
  "comment": "added references",
  "categories": [
    "math.CO"
  ],
  "abstract": "A bipartite graph G is known to be Pfaffian if and only if it does not contain an even subdivision H of $K_{3,3}$ such that $G - VH$ contains a 1-factor. However a general characterisation of Pfaffian graphs in terms of forbidden subgraphs is currently not known. In this paper we describe a possible approach to the derivation of such a characterisation. We also extend the characterisation for bipartite graphs to a slightly more general class of graphs.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-09-06T07:43:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C70"
    ],
    "keywords": [
      "pfaffian graphs",
      "bipartite graph",
      "general class",
      "general characterisation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......9026L"
    }
  }
}