{
  "abstract": "Let $\\mathcal F=\\{2K_2,C_4,C_5\\}$, so that $\\operatorname{Forb}(\\mathcal F)$ is the class of split graphs. Resolving a conjecture of Wang and Tang, we prove that the class of split graphs is generalized spectrally closed and that it admits no walk-realizable $\\mathcal F$-supporter of any finite order.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29260",
  "author_total": 1,
  "authors": [
    {
      "name": "Yanyang Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bdkgzq2d22n04.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29260",
  "fulltext_url": null,
  "id": "bdkgzq2d22n04",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29260",
  "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",
      "2608|Graph theory and applications"
    ]
  ],
  "openalex": "W7204883824",
  "pdf_url": "https://arxiv.org/pdf/2608.29260",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bdkgzq2d22n04.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.29260",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29260"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Generalized Spectral Closedness and the Nonexistence of Walk-Realizable Supporters for Split Graphs",
  "title_text": "Generalized Spectral Closedness and the Nonexistence of Walk-Realizable Supporters for Split Graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/bdkgzq2d22n04",
  "venue": "arXiv",
  "versions": []
}