{
  "abstract": "For an integer $k\\ge2$, let $C(k,k)$ denote the oriented cycle formed by two internally vertex-disjoint directed paths of length $k$ with the same initial and terminal vertices. We extend a problem of Picasarri-Arrieta and Rambaud [European J. Combin. 122 (2024)] on subdivisions of $C(k,k)$ to digraphs with several vertices of out-degree one. Following the sharp result of Chen et al. [arXiv:2610.38574v1 (2026)] for at most one such vertex, we determine the exact digirth threshold when at most $r\\ge4$ such vertices are permitted. Specifically, for all integers $k\\ge2$ and $r\\ge4$, every digraph of minimum out-degree at least one, with at most $r$ vertices of out-degree one and digirth at least $r(k-1)+1$, contains a subdivision of $C(k,k)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00720",
  "author_total": 4,
  "authors": [
    {
      "name": "Hao Zhang"
    },
    {
      "name": "Panpan Cheng"
    },
    {
      "name": "Jin Yan"
    },
    {
      "name": "Tong Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b8n60j1yzkh36.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00720",
  "fulltext_url": null,
  "id": "b8n60j1yzkh36",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00720",
  "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/2611.00720",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b8n60j1yzkh36.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00720",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00720"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Sharp digirth bounds for C(k,k)-subdivisions in digraphs",
  "title_text": "Sharp digirth bounds for C(k,k)-subdivisions in digraphs",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/b8n60j1yzkh36",
  "venue": "arXiv",
  "versions": []
}