{
  "abstract": "The anti-Ramsey number $AR(n,F)$ is the maximum number of colors in an edge-coloring of the complete graph $K_n$ containing no rainbow copy of $F$. I prove that every spanning linear forest on an even number $n\\ge6$ of vertices whose components have even orders and which has an isolated edge has the same anti-Ramsey number as a perfect matching on $n$ vertices. The orders of the longer path components may be different.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11441",
  "author_total": 1,
  "authors": [
    {
      "name": "Ali Ghalavand"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eq2yrheakzzk0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11441",
  "fulltext_url": null,
  "id": "eq2yrheakzzk0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11441",
  "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",
      "2607|Limits and Structures in Graph Theory"
    ]
  ],
  "openalex": "W7221183670",
  "pdf_url": "https://arxiv.org/pdf/2610.11441",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eq2yrheakzzk0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2610.11441",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11441"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Spanning Even Linear Forests with Isolated Edges Share the Anti-Ramsey Numbers of Perfect Matchings",
  "title_text": "Spanning Even Linear Forests with Isolated Edges Share the Anti-Ramsey Numbers of Perfect Matchings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/eq2yrheakzzk0",
  "venue": "arXiv",
  "versions": []
}