{
  "abstract": "We study balanced cycles in regular multipartite tournaments. A cycle in a $c$-partite tournament is $k$-balanced if it contains exactly $k$ vertices from each partite class. We prove that there exists an absolute integer $r_0$ such that every regular $c$-partite tournament with each partite class size of $r\\ge r_0$ contains a $k$-balanced cycle for every $1\\le k\\le r$ when $c=3$ or $c\\ge5$, and for every $2\\le k\\le r$ when $c=4$. In particular, our result confirms three conjectures of Volkmann and Winzen for large regular multipartite tournaments. We also confirm Yeo's conjecture on the existence of $(p,q)$-cycle factors for large regular $c$-partite tournaments $G$ with $c\\ge4$, where a $(p,q)$-cycle factor is a pair of vertex-disjoint cycles of lengths $p$ and $q$ spanning $G$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06468",
  "author_total": 4,
  "authors": [
    {
      "name": "Yufei Chang"
    },
    {
      "name": "Zhilan Wang"
    },
    {
      "name": "Shuo Wei"
    },
    {
      "name": "Jin Yan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b71rqvyxenz5d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06468",
  "fulltext_url": null,
  "id": "b71rqvyxenz5d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06468",
  "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/2611.06468",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b71rqvyxenz5d.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06468",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06468"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Cycles in Regular Multipartite Tournaments",
  "title_text": "Cycles in Regular Multipartite Tournaments",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/b71rqvyxenz5d",
  "venue": "arXiv",
  "versions": []
}