{
  "abstract": "For every fixed integer $r\\ge3$, we prove that the Turán density of every $r$-uniform hypergraph $F$ with $m\\ge1$ edges satisfies $π(F)\\le1-c_rm^{-(r-1)/r}$, where $c_r>0$ depends only on $r$. This improves Sidorenko's general bound, whose gap from $1$ is of order $m^{-1}$. Complete $r$-uniform hypergraphs show that the exponent $(r-1)/r$ is optimal. The proof combines a potential argument for partial embeddings with the Lovász Local Lemma.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18944",
  "author_total": 3,
  "authors": [
    {
      "name": "Shuyan Chen"
    },
    {
      "name": "Xinmin Hou"
    },
    {
      "name": "Xizhi Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2vndxj4j9s65y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18944",
  "fulltext_url": null,
  "id": "2vndxj4j9s65y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18944",
  "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": "W7222009247",
  "pdf_url": "https://arxiv.org/pdf/2610.18944",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2vndxj4j9s65y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.18944",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18944"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Improved Sidorenko bound for hypergraph Turan densities",
  "title_text": "Improved Sidorenko bound for hypergraph Turan densities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/2vndxj4j9s65y",
  "venue": "arXiv",
  "versions": []
}