{
  "id": "2305.09192",
  "version": "v1",
  "published": "2023-05-16T06:04:13.000Z",
  "updated": "2023-05-16T06:04:13.000Z",
  "title": "Decomposition of (infinite) digraphs along directed 1-separations",
  "authors": [
    "Nathan Bowler",
    "Florian Gut",
    "Meike Hatzel",
    "Ken-ichi Kawarabayashi",
    "Irene Muzi",
    "Florian Reich"
  ],
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "abstract": "We introduce torsoids, a canonical structure in matching covered graphs, corresponding to the bricks and braces of the graph. This allows a more fine-grained understanding of the structure of finite and infinite directed graphs with respect to their 1-separations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-16T06:04:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "decomposition",
      "infinite directed graphs",
      "matching covered graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}