{
  "abstract": "We establish sharp upper and lower bounds on the geodesic transversal number of hypercubes. We also obtain a lower bound on the geodesic transversal number of Hamming graphs. As applications, we provide negative answers to two open problems concerning the geodesic transversal number.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39298",
  "author_total": 3,
  "authors": [
    {
      "name": "Shi Chen"
    },
    {
      "name": "Xuanlong Ma"
    },
    {
      "name": "Tingzeng Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7f11n0g56809g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39298",
  "fulltext_url": null,
  "id": "7f11n0g56809g",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39298",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39298",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7f11n0g56809g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.39298",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39298"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "On two problems concerning the geodesic transversal number of graphs",
  "title_text": "On two problems concerning the geodesic transversal number of graphs",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/7f11n0g56809g",
  "venue": "arXiv",
  "versions": []
}