{
  "abstract": "This short paper presents the interesting relation between integer sequence A319433 in https://oeis.org and the maximum degrees of the family of finite linear Jaco graphs $J_n(x)$ where $n = 1,2,3,\\dots$. The result first appeared as a conjecture. Subsequently, a proof through AI-assisted mathematical reasoning came to the fore. Appropriate clarity remarks follow in the main text. It appears that $\\textit{Golden ratio}$-like floor function plays an important role in the analysis of the graph structural properties of the family of finite linear Jaco graphs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01554",
  "author_total": 2,
  "authors": [
    {
      "name": "Timothée Raso"
    },
    {
      "name": "Johan Kok"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3j4kt1rah612e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01554",
  "fulltext_url": null,
  "id": "3j4kt1rah612e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01554",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01554",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3j4kt1rah612e.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01554",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01554"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Short Paper No. 1: Relation between integer sequence A319433 and the maximum degrees of finite linear Jaco graphs",
  "title_text": "Short Paper No. 1: Relation between integer sequence A319433 and the maximum degrees of finite linear Jaco graphs",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/3j4kt1rah612e",
  "venue": "arXiv",
  "versions": []
}