{
  "id": "2411.19569",
  "version": "v1",
  "published": "2024-11-29T09:29:02.000Z",
  "updated": "2024-11-29T09:29:02.000Z",
  "title": "A note on transformations of edge colorings of chordless graphs and triangle-free graphs",
  "authors": [
    "Armen Asratian"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Bonamy et al. (2023) proved that an optimal edge coloring of a simple triangle--free graph $G$ can be reached from any given proper edge coloring of $G$ through a series of Kempe changes. We show that a small modification of their proof gives a possibility to obtain a similar result for a larger class of simple graphs consisting of all triangle-free and all chordless graphs (a graph $G$ is chordless if in every cycle $C$ of $G$ any two nonconsecutive vertices of $C$ are not adjacent).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-29T09:29:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C15",
      "G.2.2"
    ],
    "keywords": [
      "edge coloring",
      "chordless graphs",
      "transformations",
      "simple triangle-free graph",
      "proper edge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}