{
  "abstract": "How many disjoint copies of some graph $H$ can appear in an induced subgraph of a strongly regular graph? We give upper and lower bounds that depend on the number of vertices in their boundary. This generalizes a result of Lou-Murin which bounds the independence number of a (hitherto still elusive) strongly regular graph with parameters $(99,14,1,2)$. The equality cases suggest alternative structural approaches for potential constructions of such a graph. We show, using computer searches, that one cannot impose certain additional natural conditions for some of the cases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22299",
  "author_total": 1,
  "authors": [
    {
      "name": "Benjamin Baker"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/djyt6xs3yaffz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22299",
  "fulltext_url": null,
  "id": "djyt6xs3yaffz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22299",
  "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",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7222418811",
  "pdf_url": "https://arxiv.org/pdf/2610.22299",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/djyt6xs3yaffz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.22299",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22299"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "An Induced Subgraph Paradigm for Strongly Regular Graph Constructions",
  "title_text": "An Induced Subgraph Paradigm for Strongly Regular Graph Constructions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/djyt6xs3yaffz",
  "venue": "arXiv",
  "versions": []
}