{
  "abstract": "We consider Tutte's $3$-flow conjecture in the class of Cayley graphs on groups $G$ of order $p^2n$, where $p$ is a prime and $n$ is square-free and coprime to $p$. The conjecture has been proved by J. Zhang and Z. Zhang in the case where $n$ is a prime (Discrete Mathematics, 2023); and by the authors in the case where $p=2$ (arXiv:2603.24175). In this paper, we prove the conjecture in the case where $p > 2$ and either a Sylow $p$-subgroup or a Hall $n$-subgroup of $G$ is a cyclic group.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.42099",
  "author_total": 2,
  "authors": [
    {
      "name": "Milad Ahanjideh"
    },
    {
      "name": "István Kovács"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ap43dq5t1v355.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.42099",
  "fulltext_url": null,
  "id": "ap43dq5t1v355",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.42099",
  "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/2610.42099",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ap43dq5t1v355.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.42099",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.42099"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "On nowhere-zero ${3}$-flows in Cayley graphs on groups of order ${p^2n}$",
  "title_text": "On nowhere-zero 3-flows in Cayley graphs on groups of order p^2n",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:53Z",
  "url": "https://research.draconitic.com/paper/ap43dq5t1v355",
  "venue": "arXiv",
  "versions": []
}