{
  "abstract": "Bıyıko{\\u g}lu, Hordijk, Leydold, Pisanski, and Stadler conjectured that, for every $n\\geq3$ and $1\\leq i\\leq n-2$, the hypercube $Q_n$ admits a Laplacian eigenfunction with eigenvalue $2i$ and exactly two strong nodal domains. In this paper, we confirm this conjecture.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.21978",
  "author_total": 2,
  "authors": [
    {
      "name": "Yize He"
    },
    {
      "name": "Qinghong Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5kb4573qp089n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.21978",
  "fulltext_url": null,
  "id": "5kb4573qp089n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.21978",
  "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",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7213897668",
  "pdf_url": "https://arxiv.org/pdf/2609.21978",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5kb4573qp089n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2609.21978",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.21978"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Hypercube eigenfunctions with two strong nodal domains",
  "title_text": "Hypercube eigenfunctions with two strong nodal domains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/5kb4573qp089n",
  "venue": "arXiv",
  "versions": []
}