{
  "id": "2108.00245",
  "version": "v1",
  "published": "2021-07-31T14:16:38.000Z",
  "updated": "2021-07-31T14:16:38.000Z",
  "title": "Bipartite Graft III: General Case",
  "authors": [
    "Nanao Kita"
  ],
  "comment": "Sequel of arXiv:2101.06678",
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "abstract": "This paper is a sequel of our previous paper (N. Kita: Bipartite graft {II}: Cathedral decomposition for combs. arXiv preprint arXiv:2101.06678, 2021). In our previous paper, a graft analogue of the Dulmage-Mendelsohn decomposition has been introduced for comb bipartite grafts. In this paper, we prove how this result can be extended for general bipartite grafts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-31T14:16:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general case",
      "comb bipartite grafts",
      "general bipartite grafts",
      "dulmage-mendelsohn decomposition",
      "graft analogue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}