{
  "abstract": "Let $G$ be a finite loopless multigraph with maximum degree $Δ$ and $χ'(G)=Δ+k$, where $k\\ge0$. We prove that for every pair of positive integers $p,q$ satisfying $$p+q=Δ+k\\qquad\\text{and}\\qquad p,q\\leΔ,$$ the graph $G$ admits an edge decomposition into two spanning Class I subgraphs $H_p,H_q$ with $$Δ(H_p)=p \\qquad\\text{and}\\qquad Δ(H_q)=q.$$",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21097",
  "author_total": 2,
  "authors": [
    {
      "name": "Yonglei Chen"
    },
    {
      "name": "Yan Cao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4s8s153y712h4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21097",
  "fulltext_url": null,
  "id": "4s8s153y712h4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21097",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "1703|Graph Labeling and Dimension Problems"
    ]
  ],
  "openalex": "W7222603638",
  "pdf_url": "https://arxiv.org/pdf/2610.21097",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4s8s153y712h4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21097",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21097"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Decomposing multigraphs into two Class I subgraphs with prescribed maximum degrees",
  "title_text": "Decomposing multigraphs into two Class I subgraphs with prescribed maximum degrees",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/4s8s153y712h4",
  "venue": "arXiv",
  "versions": []
}