{
  "abstract": "In this paper we study domination and total domination of Johnson graphs $J(n,k)$. We establish monotonicity results proving that both $γ(J(n,k))$ and $γ_t(J(n,k))$ are non-decreasing with respect to $n$. We compute exact values for $γ_t(J(n,k))$ in specific cases, showing that $γ_t(J(n,2))=\\lceil\\frac{2}{3}(n-1)\\rceil$ for $n\\geq 4$, and determining $γ_t(J(n,3))$ for $n\\geq 6$, which depends quadratically on $n$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04675",
  "author_total": 3,
  "authors": [
    {
      "name": "María Gracia Cornet"
    },
    {
      "name": "Tanja Dravec"
    },
    {
      "name": "Pablo Torres"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3xvm0mwg4g227.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04675",
  "fulltext_url": null,
  "id": "3xvm0mwg4g227",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04675",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.04675",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3xvm0mwg4g227.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.04675",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04675"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Domination and Total Domination in Johnson graphs",
  "title_text": "Domination and Total Domination in Johnson graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/3xvm0mwg4g227",
  "venue": "arXiv",
  "versions": []
}