{
  "abstract": "Let $m(k)$ be the maximum size of an intersecting $k$-graph with covering number $k$. In the present paper, it is proved that for all $k>e^{32}$, \\[ m(k)\\ge k^k\\exp\\bigl(-50\\sqrt{k\\log k}\\bigr). \\] Together with Zakharov's upper bound \\cite{Z}, this implies $m(k)=k^k\\exp\\bigl(-k^{1/2+o(1)}\\bigr)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37315",
  "author_total": 4,
  "authors": [
    {
      "name": "Peter Frankl"
    },
    {
      "name": "Jian Wang"
    },
    {
      "name": "Yaoran Yang"
    },
    {
      "name": "Yutong Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d9tftm7aq3f1v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37315",
  "fulltext_url": null,
  "id": "d9tftm7aq3f1v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37315",
  "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": "W7224116250",
  "pdf_url": "https://arxiv.org/pdf/2610.37315",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d9tftm7aq3f1v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.37315",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37315"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "The maximum size of intersecting $k$-graphs with covering number $k$",
  "title_text": "The maximum size of intersecting k-graphs with covering number k",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/d9tftm7aq3f1v",
  "venue": "arXiv",
  "versions": []
}