{
  "abstract": "Boots and Royle, and independently Cao and Vince, conjectured that the join of an edge and a path on $n-2$ vertices is the unique planar graph of maximum adjacency spectral radius for $n\\geq 9$. Tait and Tobin (JCTB, 2017) proved the conjecture for sufficiently large order. In this paper, we completely resolved the Boots-Royle/Cao-Vince conjecture.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.19268",
  "author_total": 3,
  "authors": [
    {
      "name": "Lele Liu"
    },
    {
      "name": "Bo Ning"
    },
    {
      "name": "Yi Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/989w2ypcpnwab.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.19268",
  "fulltext_url": null,
  "id": "989w2ypcpnwab",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.19268",
  "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",
      "2608|Graph theory and applications"
    ]
  ],
  "openalex": "W7170070084",
  "pdf_url": "https://arxiv.org/pdf/2607.19268",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/989w2ypcpnwab.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2607.19268",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.19268"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "A complete solution to the Boots-Royle/Cao-Vince conjecture",
  "title_text": "A complete solution to the Boots-Royle/Cao-Vince conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/989w2ypcpnwab",
  "venue": "arXiv",
  "versions": []
}