{
  "abstract": "The oriented diameter of a bridgeless graph is the minimum diameter of its strong orientations. Erdős, Pach, Pollack and Tuza proved that every connected graph of order $n$ and minimum degree $δ\\ge 2$ has diameter at most $3n/(δ+1)-1$, which is sharp up to an additive constant. Cochran and Wang conjectured that the oriented diameter obeys the same bound up to an absolute additive constant. We prove this conjecture: every bridgeless graph of order $n$ and minimum degree $δ$ has a strong orientation of diameter at most $3n/(δ+1)+10^{17}$. Thus the bound of Erdős, Pach, Pollack and Tuza for the diameter carries over to the oriented diameter, with only the additive constant changed; in particular, the coefficient $3$ is best possible.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03169",
  "author_total": 3,
  "authors": [
    {
      "name": "Jiangdong Ai"
    },
    {
      "name": "Bin Chen"
    },
    {
      "name": "Yaokun Feng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cwhjksxnd9czd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03169",
  "fulltext_url": null,
  "id": "cwhjksxnd9czd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03169",
  "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/2611.03169",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cwhjksxnd9czd.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03169",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03169"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "An Erdős-Pach-Pollack-Tuza theorem for oriented diameter",
  "title_text": "An Erdős-Pach-Pollack-Tuza theorem for oriented diameter",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/cwhjksxnd9czd",
  "venue": "arXiv",
  "versions": []
}