{
  "abstract": "Let $G$ be a cubic graph admitting a $2$-factor consisting of exactly two odd circuits, and let the complementary $1$-factor contain precisely three spokes (along with an arbitrary number of chords). We show that four perfect matchings can cover $G$. As a consequence, $G$ fulfils the $7/5$-Conjecture of Alon and Tarsi.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.09475",
  "author_total": 2,
  "authors": [
    {
      "name": "Ján Karabáš"
    },
    {
      "name": "Edita Máčajová"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7cbw0wcj1zx8g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.09475",
  "fulltext_url": null,
  "id": "7cbw0wcj1zx8g",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.09475",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "1703|Advanced Graph Theory Research"
    ]
  ],
  "openalex": "W7160908268",
  "pdf_url": "https://arxiv.org/pdf/2605.09475",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7cbw0wcj1zx8g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:38Z",
      "native_id": "2605.09475",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.09475"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "On $4$-perfect-matching covers of cubic graphs with two adjacent odd circuits in a $2$-factor",
  "title_text": "On $4$-perfect-matching covers of cubic graphs with two adjacent odd circuits in a $2$-factor",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/7cbw0wcj1zx8g",
  "venue": "arXiv",
  "versions": []
}