{
  "abstract": "Let $f(d)$ be the smallest integer such that every finite connected bridgeless simple graph of diameter $d$ admits a strong orientation of diameter at most $f(d)$. Chvátal and Thomassen (1978) proved $\\lceil d^2/2\\rceil+d\\le f(d)\\le2d^2+2d$. In this paper, we prove that $\\lceil d^2/2\\rceil+d\\le f(d)\\le\\lceil d^2/2\\rceil+d+18$ for every $d\\ge2$, which shows that $f(d)=\\lceil d^2/2\\rceil+d+O(1)$ and determines both the quadratic and linear terms up to a bounded additive error. The key method of our proof is to construct a central subgraph $H$ that admits a strong orientation of diameter $O(d)$ and is within distance $\\lfloor d/2\\rfloor$ of every vertex outside it. We obtain the sharp linear coefficient by jointly estimating outside paths and their connecting paths in $H$ at the actual attachment vertices, rebuilding $H$ when necessary.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09648",
  "author_total": 8,
  "authors": [
    {
      "name": "Jiangdong Ai"
    },
    {
      "name": "Yaojun Chen"
    },
    {
      "name": "Yaokun Feng"
    },
    {
      "name": "Hui Lei"
    },
    {
      "name": "Jifu Lin"
    },
    {
      "name": "Zijian Ren"
    },
    {
      "name": "Xiaolin Wang"
    },
    {
      "name": "Ruilin Zheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/336z3gtj0xxj4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09648",
  "fulltext_url": null,
  "id": "336z3gtj0xxj4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09648",
  "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",
      "1703|Advanced Graph Theory Research"
    ]
  ],
  "openalex": "W7220931260",
  "pdf_url": "https://arxiv.org/pdf/2610.09648",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/336z3gtj0xxj4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2610.09648",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09648"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "An asymptotically tight bound on oriented diameter",
  "title_text": "An asymptotically tight bound on oriented diameter",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/336z3gtj0xxj4",
  "venue": "arXiv",
  "versions": []
}