{
  "abstract": "We prove that the six-vertex graph with edge set $\\{ab,bc,cd,de,af,bf,df\\}$ has the Erdős-Hajnal property. The proof adapts the iterative-sparsification method of Nguyen, Scott, and Seymour within the comb-based framework of Huang, Ju, and Zhou.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28551",
  "author_total": 2,
  "authors": [
    {
      "name": "Viet-Hoang Tran"
    },
    {
      "name": "Tan M. Nguyen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/68e8vtvzdwb6e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28551",
  "fulltext_url": null,
  "id": "68e8vtvzdwb6e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28551",
  "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"
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  ],
  "openalex": "W7204848079",
  "pdf_url": "https://arxiv.org/pdf/2608.28551",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/68e8vtvzdwb6e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:28Z",
      "native_id": "2608.28551",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28551"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "The Erdős-Hajnal Property for the six-vertex Graph with Edge Set $\\{ab,bc,cd,de,af,bf,df\\}$",
  "title_text": "The Erdős-Hajnal Property for the six-vertex Graph with Edge Set {ab,bc,cd,de,af,bf,df}",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:28Z",
  "url": "https://research.draconitic.com/paper/68e8vtvzdwb6e",
  "venue": "arXiv",
  "versions": []
}