{
  "abstract": "A digraph is \\textbf{supereulerian} if it contains a spanning closed trail. Let $α_2(D)$ denote the maximum cardinality of a vertex set inducing no 2-cycle. In this paper, we characterize supereulerianity in a strong digraph $D$ with $α_2(D)=4$ by proving that a strong digraph $D$ with $α_2(D)=4$ and $λ(D)\\ge 2$ is supereulerian if and only if $D$ does not belong to an exceptional family $\\mathcal H$ of $2$-arc-strong digraphs with $α_2(D)=4$. Furthermore, every strong digraph satisfying $α_2(D)=4$ and $λ(D)\\geq3$ is supereulerian.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29101",
  "author_total": 3,
  "authors": [
    {
      "name": "Zirui Liu"
    },
    {
      "name": "Jin Yan"
    },
    {
      "name": "Jia Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cr2vs36x5f4vq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29101",
  "fulltext_url": null,
  "id": "cr2vs36x5f4vq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29101",
  "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": "W7204911403",
  "pdf_url": "https://arxiv.org/pdf/2608.29101",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cr2vs36x5f4vq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.29101",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29101"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "A Chvátal--Erdős type condition for supereulerian digraphs with $α_{2}=4$",
  "title_text": "A Chvátal--Erdős type condition for supereulerian digraphs with α_2=4",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/cr2vs36x5f4vq",
  "venue": "arXiv",
  "versions": []
}