{
  "abstract": "The Lonely Runner Conjecture of Wills and Cusick states that if $k+1$ runners start running at distinct constant speeds around a unit-length circular track, then for each runner there is a time when he/she is at least $1/(k+1)$ away from all other runners. Rosenfeld recently obtained a computer-assisted proof of the conjecture for $8$ runners. By refining his approach with a sieve, we obtain proofs (also computer-assisted) for $9$ and $10$ runners.",
  "abstract_shown": true,
  "affiliations": [
    "University of Oxford"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Tanupat Trakulthongchai",
      "orcid": "0000-0002-8647-2310"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5t787f11az444.bib",
  "cited_by": 14,
  "doi": "10.37236/14972",
  "fulltext_url": null,
  "id": "5t787f11az444",
  "issns": [
    "1077-8926",
    "1097-1440"
  ],
  "landing_url": "https://doi.org/10.37236/14972",
  "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",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7163639145",
  "pdf_url": "https://www.combinatorics.org/ojs/index.php/eljc/article/download/v33i2p46/pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-05",
  "publisher": "Electronic Journal of Combinatorics",
  "ris": "https://research.draconitic.com/paper/5t787f11az444.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:41Z",
      "native_id": "W7163639145",
      "source": "openalex",
      "url": "https://doi.org/10.37236/14972"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2602|Analytic Number Theory Research",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Nine and Ten Lonely Runners",
  "title_text": "Nine and Ten Lonely Runners",
  "type": "peer-reviewed",
  "updated_at": "2026-11-07T13:20:41Z",
  "url": "https://research.draconitic.com/paper/5t787f11az444",
  "venue": "The Electronic Journal of Combinatorics",
  "versions": []
}