{
  "id": "2309.07905",
  "version": "v1",
  "published": "2023-09-14T17:53:46.000Z",
  "updated": "2023-09-14T17:53:46.000Z",
  "title": "On an induced version of Menger's theorem",
  "authors": [
    "Kevin Hendrey",
    "Sergey Norin",
    "Raphael Steiner",
    "Jérémie Turcotte"
  ],
  "comment": "14 pages, 4 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove Menger-type results in which the obtained paths are pairwise non-adjacent, both for graphs of bounded maximum degree and, more generally, for graphs excluding a topological minor. We further show better bounds in the subcubic case, and in particular obtain a tight result for two paths using a computer-assisted proof.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-14T17:53:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C38",
      "05C15",
      "05C40",
      "05C83"
    ],
    "keywords": [
      "mengers theorem",
      "induced version",
      "menger-type results",
      "tight result",
      "subcubic case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}