{
  "abstract": "We study standard spherical growth rates of right-angled Coxeter groups through the clique polynomial of the defining graph. We prove that every even degree at least four occurs as the degree of a strongly primitive Salem growth rate: for each $d\\geq2$, there are infinitely many connected $K_{2d+1}$-free defining graphs whose full reciprocal-radius polynomial is an irreducible Salem polynomial of degree $2d$. We also establish independence-polynomial obstructions for prescribed Salem polynomials, including a sharp first-coefficient bound $a_1\\leq-5$. Finally, an elementary golden-ratio growth gap excludes Lehmer's number from the standard spherical growth rates of right-angled Coxeter groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.29397",
  "author_total": 1,
  "authors": [
    {
      "name": "Mingyu Oh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4rpb18c1fn6vg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.29397",
  "fulltext_url": null,
  "id": "4rpb18c1fn6vg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.29397",
  "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"
    ],
    [
      "arxiv",
      "math.GR"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7166727296",
  "pdf_url": "https://arxiv.org/pdf/2606.29397",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4rpb18c1fn6vg.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2606.29397",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.29397"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Strongly Primitive Salem Growth Polynomials for Right-Angled Coxeter Groups",
  "title_text": "Strongly Primitive Salem Growth Polynomials for Right-Angled Coxeter Groups",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/4rpb18c1fn6vg",
  "venue": "arXiv",
  "versions": []
}