{
  "abstract": "We present a simple construction of a family of $0/1$-polytopes whose edge expansion decreases exponentially with the dimension, which disproves the Mihail-Vazirani conjecture that the graph of every $0/1$-polytope has edge expansion at least one.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.01870",
  "author_total": 1,
  "authors": [
    {
      "name": "Xiongxin Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/25213qtae1hsy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.01870",
  "fulltext_url": null,
  "id": "25213qtae1hsy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.01870",
  "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",
      "1703|Complexity and Algorithms in Graphs"
    ]
  ],
  "openalex": "W7172443294",
  "pdf_url": "https://arxiv.org/pdf/2608.01870",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/25213qtae1hsy.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:28Z",
      "native_id": "2608.01870",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.01870"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "$0/1$-Polytopes with Exponentially Small Edge Expansion",
  "title_text": "0/1-Polytopes with Exponentially Small Edge Expansion",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/25213qtae1hsy",
  "venue": "arXiv",
  "versions": []
}