{
  "abstract": "We consider a randomly twisted hypercube on $N$ vertices and study a simple or lazy random walk on this graph. We show that for both walks the mixing time is of order $\\log N$, and the model does not exhibit cutoff. We also establish that both walks have cover time of order $N\\log N$, and we show that the chromatic number of the graph diverges.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21976",
  "author_total": 2,
  "authors": [
    {
      "name": "Zsuzsanna Baran"
    },
    {
      "name": "Anđela Šarković"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aq9g8zb53mcxs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21976",
  "fulltext_url": null,
  "id": "aq9g8zb53mcxs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21976",
  "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.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7222509569",
  "pdf_url": "https://arxiv.org/pdf/2610.21976",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aq9g8zb53mcxs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21976",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21976"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Mixing time of the lazy and simple random walk on a randomly twisted hypercube",
  "title_text": "Mixing time of the lazy and simple random walk on a randomly twisted hypercube",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/aq9g8zb53mcxs",
  "venue": "arXiv",
  "versions": []
}