{
  "abstract": "Erdős and Sós conjectured that every $n$-vertex $3$-uniform hypergraph whose link graphs are all bipartite has at most $(1/4+o(1))\\binom n3$ edges. We disprove this conjecture by constructing counterexamples with edge density at least $0.250000356>1/4$ for all sufficiently large $n$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11642",
  "author_total": 1,
  "authors": [
    {
      "name": "Tianchi Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/551g4cn5amqah.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11642",
  "fulltext_url": null,
  "id": "551g4cn5amqah",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11642",
  "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",
      "2607|Limits and Structures in Graph Theory"
    ]
  ],
  "openalex": "W7221145181",
  "pdf_url": "https://arxiv.org/pdf/2610.11642",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/551g4cn5amqah.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2610.11642",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11642"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "A counterexample to the Erdős--Sós bipartite-link conjecture",
  "title_text": "A counterexample to the Erdős--Sós bipartite-link conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/551g4cn5amqah",
  "venue": "arXiv",
  "versions": []
}