{
  "abstract": "We prove that if p greater than or equals n Superscript minus left parenthesis q minus 6 right parenthesis divided by 2 p ≥ n − ( q − 6 ) / 2 $p \\geq n^{-(q-6)/2}$ , then asymptotically almost surely the binomial random q -uniform hypergraph script upper G Superscript left parenthesis q right parenthesis Baseline left parenthesis n comma p right parenthesis G ( q ) ( n , p ) $\\mathcal{G}^{(q)}(n,p)$ contains an ( n , q , 2)-Steiner system, provided n satisfies the necessary divisibility conditions.",
  "abstract_shown": true,
  "affiliations": [
    "Toronto Metropolitan University",
    "Georgia Institute of Technology",
    "University of Waterloo"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Michelle Delcourt",
      "orcid": "0000-0003-1176-8931"
    },
    {
      "affs": [
        1
      ],
      "name": "Tom Kelly",
      "orcid": "0000-0002-4040-1648"
    },
    {
      "affs": [
        2
      ],
      "name": "Luke Postle",
      "orcid": "0000-0002-5023-269X"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2a6se8dejfhze.bib",
  "cited_by": 12,
  "doi": "10.1017/s0305004126102059",
  "fulltext_url": null,
  "id": "2a6se8dejfhze",
  "issns": [
    "0305-0041",
    "1469-8064"
  ],
  "landing_url": "https://doi.org/10.1017/s0305004126102059",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2607|Limits and Structures in Graph Theory"
    ]
  ],
  "openalex": "W7165141757",
  "pdf_url": "https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6766AB107E39E770F0435B6C67A02770/S0305004126102059a.pdf/div-class-title-thresholds-for-em-class-italic-n-em-em-class-italic-q-em-2-steiner-systems-via-refined-absorption-div.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-19",
  "publisher": "Cambridge University Press",
  "ris": "https://research.draconitic.com/paper/2a6se8dejfhze.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:21:00Z",
      "native_id": "W7165141757",
      "source": "openalex",
      "url": "https://doi.org/10.1017/s0305004126102059"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2607|Limits and Structures in Graph Theory",
      "subfield": "combinatorics"
    }
  ],
  "title": "Thresholds for ( n , q , 2)-Steiner systems via refined absorption",
  "title_text": "Thresholds for ( n , q , 2)-Steiner systems via refined absorption",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T13:20:36Z",
  "url": "https://research.draconitic.com/paper/2a6se8dejfhze",
  "venue": "Mathematical Proceedings of the Cambridge Philosophical Society",
  "versions": []
}