{
  "abstract": "A digraph is $k$-quasi-transitive if the endpoints of every directed path of length $k$ are adjacent. In this paper, we prove that every strong non-bipartite $k$-quasi-transitive digraph of diameter at least $k+2$ is Hamiltonian when $k\\ge7$ is odd. Moreover, combined with the known even case, for $k\\ge6$, we also prove that a strong bipartite $k$-quasi-transitive digraph of diameter at least $k+2$ is Hamiltonian if and only if it has a cycle factor. These answer two problems posed by Alva-Samos and Hernández-Cruz affirmatively [Journal of Graph Theory \\textbf{96} (2021) 310--325].",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06310",
  "author_total": 2,
  "authors": [
    {
      "name": "Hao Zhang"
    },
    {
      "name": "Panpan Cheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dy93nn18bmnpz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06310",
  "fulltext_url": null,
  "id": "dy93nn18bmnpz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06310",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06310",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dy93nn18bmnpz.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06310",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06310"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Hamiltonicity and cycle factors in k-quasi-transitive digraphs of large diameter",
  "title_text": "Hamiltonicity and cycle factors in k-quasi-transitive digraphs of large diameter",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/dy93nn18bmnpz",
  "venue": "arXiv",
  "versions": []
}