{
  "abstract": "For $1\\le i\\le j\\le k$, let $gr^3_2(K_i, K_j, K_k)$ be the least $n\\in \\mathbb{N}$ such that every rainbow triangle-free $3$-coloring of $K_n$ (using red, blue, and green) contains a red/blue $K_i$, a red/green $K_j$, or a blue/green $K_k$. In this paper, we completely evaluate $gr^3_2(K_i, K_j, K_k)$ for all values of $i$, $j$, and $k$ in which $r(K_i,K_j)$ is known.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41971",
  "author_total": 2,
  "authors": [
    {
      "name": "Mark Budden"
    },
    {
      "name": "Elijah DeJonge"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4n8drd0sgehsg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41971",
  "fulltext_url": null,
  "id": "4n8drd0sgehsg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41971",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41971",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4n8drd0sgehsg.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41971",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41971"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "The 3-Color 2-Chromatic Gallai-Ramsey Number for Complete Graphs",
  "title_text": "The 3-Color 2-Chromatic Gallai-Ramsey Number for Complete Graphs",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:53Z",
  "url": "https://research.draconitic.com/paper/4n8drd0sgehsg",
  "venue": "arXiv",
  "versions": []
}