{
  "abstract": "Let $R(K)$ and $s(K)$ denote the Ramsey number and the stick number of a knot $K$. Johnson proved that $R-s$ is unbounded on $(p-1,p)$ torus knots and asked whether other such families exist. We give an affirmative answer. We construct an explicit eight-stick alternating knot $J$ with $c(J)=6$ and $\\operatorname{br}(J)=2$. For $K_n=\\#^nJ$, the connected-sum formulas yield $R(K_n)\\ge 7n+3$ and $s(K_n)\\le 5n+3$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27488",
  "author_total": 1,
  "authors": [
    {
      "name": "Meng Ji"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/37dv41rskgavb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27488",
  "fulltext_url": null,
  "id": "37dv41rskgavb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27488",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GM"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7204791927",
  "pdf_url": "https://arxiv.org/pdf/2608.27488",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/37dv41rskgavb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:28Z",
      "native_id": "2608.27488",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27488"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Geometric and Algebraic Topology",
      "subfield": "geometry-topology"
    }
  ],
  "title": "An explicit connected-sum family with unbounded knot Ramsey-stick gap",
  "title_text": "An explicit connected-sum family with unbounded knot Ramsey-stick gap",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:28Z",
  "url": "https://research.draconitic.com/paper/37dv41rskgavb",
  "venue": "arXiv",
  "versions": []
}