{
  "abstract": "In a proper coloring, a Kempe change interchanges two colors on a connected component of the subgraph they induce. For a fixed list assignment $L$, a Kempe change is $L$-valid if it transforms an $L$-coloring into another $L$-coloring. We prove that if $G$ is a $3$-connected graph other than a complete graph or the triangular prism, and $L$ is a list assignment with $|L(v)|\\ge d_G(v)$ for every vertex $v$, then $G$ has a proper $L$-coloring and any two such colorings can be transformed into one another by a finite sequence of $L$-valid Kempe changes. This proves a conjecture of Chakraborty, Feghali and Mahmoud.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35701",
  "author_total": 1,
  "authors": [
    {
      "name": "Hongyang Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bj77qec1bdh8w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35701",
  "fulltext_url": null,
  "id": "bj77qec1bdh8w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35701",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "1703|Advanced Graph Theory Research"
    ]
  ],
  "openalex": "W7223983190",
  "pdf_url": "https://arxiv.org/pdf/2610.35701",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bj77qec1bdh8w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:43Z",
      "native_id": "2610.35701",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35701"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Degree-list Kempe equivalence for 3-connected graphs",
  "title_text": "Degree-list Kempe equivalence for 3-connected graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:43Z",
  "url": "https://research.draconitic.com/paper/bj77qec1bdh8w",
  "venue": "arXiv",
  "versions": []
}