{
  "abstract": "We show, under a certain assumption, that the Cheeger constant of a connected Cayley graphon is bounded from above in terms of its bipartiteness ratio, and also in terms of the gap between the top of the spectrum of its Laplacian and $2$. Using this result, we prove that if a connected Cayley graphon $C(G,γ)$ is bipartite, then there exists an index two subgroup $H$ of $G$ that avoids the support of $γ$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01745",
  "author_total": 1,
  "authors": [
    {
      "name": "Mugdha Mahesh Pokharanakar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fnm4dbkvackvj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01745",
  "fulltext_url": null,
  "id": "fnm4dbkvackvj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.01745",
  "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"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7216017824",
  "pdf_url": "https://arxiv.org/pdf/2610.01745",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fnm4dbkvackvj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2610.01745",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01745"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Cheeger constants and bipartiteness ratios of Cayley graphons",
  "title_text": "Cheeger constants and bipartiteness ratios of Cayley graphons",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/fnm4dbkvackvj",
  "venue": "arXiv",
  "versions": []
}