{
  "abstract": "In this note, we prove a stronger version of the Kővári-Sós-Turán theorem for partition-wise $k$-stable $r$-hypergraphs. More precisely, we show that for every $k,r\\in\\mathbb{N}_{\\geq 2}$ there is $η=η(r,k)>0$ such that if $H=(V;E)$ is a partition-wise $k$-stable $r$-uniform $K^{(r)}_{t,\\ldots,t}$-free hypergraph with $|V|=n$, then $|E| = O_{r,k,t}(n^{r-η})$. Crucially, $η$ is independent of $t$. The proof follows the pseudofinite regime used by Chernikov and Starchenko to prove an analogous version of Erdős-Hajnal for stable hypergraphs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06684",
  "author_total": 1,
  "authors": [
    {
      "name": "Aris Papadopoulos"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5ft0f3vx9xtd2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06684",
  "fulltext_url": null,
  "id": "5ft0f3vx9xtd2",
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  "landing_url": "https://arxiv.org/abs/2610.06684",
  "language": null,
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "arxiv",
      "math.LO"
    ],
    [
      "openalex",
      "2607|Limits and Structures in Graph Theory"
    ]
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  "openalex": "W7220662641",
  "pdf_url": "https://arxiv.org/pdf/2610.06684",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5ft0f3vx9xtd2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.06684",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06684"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "A note on the Kővári--Sós--Turán theorem for stable hypergraphs",
  "title_text": "A note on the Kővári--Sós--Turán theorem for stable hypergraphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/5ft0f3vx9xtd2",
  "venue": "arXiv",
  "versions": []
}