{
  "abstract": "The classical Turán-type problem for graphs forbidding $k$ disjoint triangles has been resolved firstly by Erdős [Arch. Math. 13 (1962) 222-227] for graphs of sufficiently large order and improved by Moon [Canad. J. Math. 20 (1968) 95-102], who established that the unique edge extremal graph is $K_{k-1}\\vee T_2(n-k+1)$ for $n> \\frac{19k-11}{2}$. In this paper, we determine the maximum signless Laplacian spectral radius among all $kK_3$-free graphs of order $n$ and characterize the unique signless Laplacian spectral extremal graph $K_{k-1}\\vee T_{2}(n-k+1)$ for all $k\\ge 2$ and sufficiently large $n$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30859",
  "author_total": 3,
  "authors": [
    {
      "name": "Ming-Zhu Chen"
    },
    {
      "name": "Ya-Lei Jin"
    },
    {
      "name": "Peng-Li Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/44h95hya86t1q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30859",
  "fulltext_url": null,
  "id": "44h95hya86t1q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30859",
  "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",
      "2608|Graph theory and applications"
    ]
  ],
  "openalex": "W7223265976",
  "pdf_url": "https://arxiv.org/pdf/2610.30859",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/44h95hya86t1q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:38Z",
      "native_id": "2610.30859",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30859"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "The signless Laplacian spectral Turán problems for disjoint triangles",
  "title_text": "The signless Laplacian spectral Turán problems for disjoint triangles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/44h95hya86t1q",
  "venue": "arXiv",
  "versions": []
}