{
  "abstract": "In this paper we present a method for constructing directed regular graphs from a transitive permutation group. This method is a generalization of a construction method for transitive 1-designs from a finite group, described in \\cite{dean1}. Using this construction, we prove the existence of directed strongly regular graphs with parameters $(72,25,15,6,10)$, $(96,11,4,3,1)$, $(96,22,16,8,4)$, $(96,26,11,7,7)$, $(96,29,23,10,8)$, $(96,42,32,16,20)$, $(96,45,35,22,20)$ and $(165,60,36,23,21)$. Finally, we classify quasi-strongly regular digraphs arising from transitive permutation groups of degree at most $30$ and from primitive permutation groups of degrees from $31$ to $110$ and rank at most $30$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10075",
  "author_total": 2,
  "authors": [
    {
      "name": "Vedrana Mikulić Crnković"
    },
    {
      "name": "Matea Zubović Žutolija"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/00tph0k5x7z3s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10075",
  "fulltext_url": null,
  "id": "00tph0k5x7z3s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10075",
  "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": "W7212149256",
  "pdf_url": "https://arxiv.org/pdf/2609.10075",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/00tph0k5x7z3s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:15Z",
      "native_id": "2609.10075",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10075"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Quasi-strongly regular digraphs constructed from transitive groups of degree $n\\leq 110$",
  "title_text": "Quasi-strongly regular digraphs constructed from transitive groups of degree n≤ 110",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:15Z",
  "url": "https://research.draconitic.com/paper/00tph0k5x7z3s",
  "venue": "arXiv",
  "versions": []
}