{
  "abstract": "A graph is locally irregular if adjacent vertices have distinct degrees. A graph G is decomposable if its edge set can be decomposed into locally irregular graphs, and its locally irregular chromatic index lir(G) is the least number of graphs in such a decomposition. We prove that lir(G) <= 18 for every decomposable graph G, improving the previous bound of 220.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09355",
  "author_total": 4,
  "authors": [
    {
      "name": "Carla Negri Lintzmayer"
    },
    {
      "name": "Guilherme Oliveira Mota"
    },
    {
      "name": "Maycon Sambinelli"
    },
    {
      "name": "Vinicius Fernandes dos Santos"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1rmpgvwfa0665.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09355",
  "fulltext_url": null,
  "id": "1rmpgvwfa0665",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09355",
  "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": "W7212188510",
  "pdf_url": "https://arxiv.org/pdf/2609.09355",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1rmpgvwfa0665.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:15Z",
      "native_id": "2609.09355",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09355"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "An 18-colour bound for locally irregular decompositions",
  "title_text": "An 18-colour bound for locally irregular decompositions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:15Z",
  "url": "https://research.draconitic.com/paper/1rmpgvwfa0665",
  "venue": "arXiv",
  "versions": []
}