{
  "abstract": "Given graphs $F$ and $H$, the induced Ramsey number $r_{\\mathrm{ind}}(F,H)$ is the smallest integer $n$ for which there exists a graph $G$ on $n$ vertices such that every red-blue colouring of $E(G)$ contains either a blue induced copy of $F$ or a red induced copy of $H$. A conjecture of Kohayakawa, Prömel and Rödl asserts that, for every fixed graph $F$, this number is polynomial in $v(H)$. We prove this conjecture, showing that there is an absolute constant $C > 0$ such that $$r_{\\mathrm{ind}}(F,H) \\leq v(H)^{Cv(F)^2}$$ for all graphs $F$ and $H$. The proof combines a variant of a random geometric construction of Kohayakawa, Prömel and Rödl with the hypergraph container method.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06886",
  "author_total": 4,
  "authors": [
    {
      "name": "Bruno Andrades"
    },
    {
      "name": "Marcelo Campos"
    },
    {
      "name": "Rafael Filipe"
    },
    {
      "name": "Anastasiia Kats"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ee3ka8124pszd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06886",
  "fulltext_url": null,
  "id": "ee3ka8124pszd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06886",
  "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/2611.06886",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ee3ka8124pszd.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06886",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06886"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Off-Diagonal Induced Ramsey Numbers",
  "title_text": "Off-Diagonal Induced Ramsey Numbers",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:31Z",
  "url": "https://research.draconitic.com/paper/ee3ka8124pszd",
  "venue": "arXiv",
  "versions": []
}