{
  "abstract": "Graph covers preserve the local structure of a graph while allowing its global structure to change substantially. In this paper, we study how such changes in cyclic covers affect nowhere-zero flow properties. For a fixed integer $\\ell \\ge 2$, we show that for every bridgeless graph $G$, there exists an $\\ell$-fold cyclic cover of $G$ that admits a nowhere-zero $3$-flow if $\\ell$ is even and a nowhere-zero $4$-flow if $\\ell$ is odd. These bounds are best possible in general. For odd $\\ell$, we further investigate which bridgeless graphs admit an $\\ell$-fold cyclic cover with a nowhere-zero $3$-flow.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29125",
  "author_total": 4,
  "authors": [
    {
      "name": "Rong Luo"
    },
    {
      "name": "Yuying Ma"
    },
    {
      "name": "D. Christopher Stephens"
    },
    {
      "name": "Dong Ye"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0b4m0kbn8gq33.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29125",
  "fulltext_url": null,
  "id": "0b4m0kbn8gq33",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29125",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "1703|Advanced Graph Theory Research"
    ]
  ],
  "openalex": "W7223215985",
  "pdf_url": "https://arxiv.org/pdf/2610.29125",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0b4m0kbn8gq33.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.29125",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29125"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Integer Flows on Cyclic Covers of Graphs",
  "title_text": "Integer Flows on Cyclic Covers of Graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/0b4m0kbn8gq33",
  "venue": "arXiv",
  "versions": []
}