{
  "abstract": "The average eccentricity $\\avec(D)$ of a strong digraph $D$ is the mean eccentricity of all vertices in $D$. A tournament $T$ is an orientation of a complete graph. In this paper, we prove that the average eccentricity satisfies $2 \\le \\avec(T) < \\frac{n}{2k} + \\frac{11}{2} + \\frac{k}{8n}$ for a $k$-connected tournament $T$ of order $n$. We further examine the case for strong tournaments where $k = 1$, and show that $\\avec(T) \\le \\frac{n+11}{2} + \\frac{1}{8n}$ for any strong tournament $T$. Moreover, we show that the lower bound $2$ is sharp and that the upper bounds are best possible apart from an additive constant.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35970",
  "author_total": 1,
  "authors": [
    {
      "name": "Fadekemi Janet Osaye"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7nhts2k8mjhvy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35970",
  "fulltext_url": null,
  "id": "7nhts2k8mjhvy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35970",
  "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",
      "2608|Graph theory and applications"
    ]
  ],
  "openalex": "W7224127373",
  "pdf_url": "https://arxiv.org/pdf/2610.35970",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7nhts2k8mjhvy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.35970",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35970"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Average eccentricity in k-connected tournaments",
  "title_text": "Average eccentricity in k-connected tournaments",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/7nhts2k8mjhvy",
  "venue": "arXiv",
  "versions": []
}