{
  "abstract": "Let P be a finite spherical set. We prove that if P admits a solvable group of isometries acting transitively on it, then every r-coloring of a sufficiently high-dimensional sphere of radius slightly larger than the circumradius of P contains a monochromatic congruent copy of P. Our proof builds on the group-theoretic argument of Kriz and combines it with a topological method that may be of independent interest.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.10865",
  "author_total": 1,
  "authors": [
    {
      "name": "Dömötör Pálvölgyi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d0hf2ntrbnfv7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.10865",
  "fulltext_url": null,
  "id": "d0hf2ntrbnfv7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.10865",
  "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",
      "2607|Limits and Structures in Graph Theory"
    ]
  ],
  "openalex": "W7202268577",
  "pdf_url": "https://arxiv.org/pdf/2608.10865",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d0hf2ntrbnfv7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:36Z",
      "native_id": "2608.10865",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.10865"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "A nearcircumsphere-Ramsey Theorem for Solvable Transitive Configurations",
  "title_text": "A nearcircumsphere-Ramsey Theorem for Solvable Transitive Configurations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/d0hf2ntrbnfv7",
  "venue": "arXiv",
  "versions": []
}