{
  "abstract": "We prove an exact isoperimetric inequality for cubes and tori under the $\\ell_{\\infty} metric. As a corollary, we recover the celebrated grid edge-isoperimetric inequality of Bollobás-Leader.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.22456",
  "author_total": 4,
  "authors": [
    {
      "name": "Ben Baker"
    },
    {
      "name": "Joseph Briggs"
    },
    {
      "name": "Manuel Fernandez V"
    },
    {
      "name": "Chris Wells"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8rgfbb5kn93hp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.22456",
  "fulltext_url": null,
  "id": "8rgfbb5kn93hp",
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  "landing_url": "https://arxiv.org/abs/2609.22456",
  "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.CO"
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      "arxiv",
      "math.MG"
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      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
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  "openalex": "W7214004564",
  "pdf_url": "https://arxiv.org/pdf/2609.22456",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8rgfbb5kn93hp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.22456",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.22456"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.MG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Isoperimetric Inequalities in the $\\ell_{\\infty}$ cube and torus",
  "title_text": "Isoperimetric Inequalities in the ℓ_∞ cube and torus",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/8rgfbb5kn93hp",
  "venue": "arXiv",
  "versions": []
}