{
  "abstract": "In this paper we study a relatively new Ramsey type graph parameter introduced by my Bachelor's thesis supervisor Nóra Almási, and her Master's thesis supervisor Maria Axenovich. The parameter $ξ(G)$ denotes the largest natural number $n$, such that there is a red-blue-green edge coloring of $K_n$, such that in the edge coloring all copies of $G$ represent all three colors. After a brief recap on Ramsey numbers, we precisely define $ξ(G)$, and take a look at its relations to the Ramsey numbers. In the third chapter we establish lower bounds on $ξ(G)$, in the cases $G=K_5$ and $G=K_6$, namely $ξ(K_5)\\ge 19$ and $ξ(K_6)\\ge 31$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03878",
  "author_total": 1,
  "authors": [
    {
      "name": "Máté Giesz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/64av4pdam1hpc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03878",
  "fulltext_url": null,
  "id": "64av4pdam1hpc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03878",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03878",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/64av4pdam1hpc.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.03878",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03878"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "On the lower- and upper bounds of three-colored anti-Ramsey numbers",
  "title_text": "On the lower- and upper bounds of three-colored anti-Ramsey numbers",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:38Z",
  "url": "https://research.draconitic.com/paper/64av4pdam1hpc",
  "venue": "arXiv",
  "versions": []
}