{
  "id": "2408.05349",
  "version": "v1",
  "published": "2024-08-09T21:32:26.000Z",
  "updated": "2024-08-09T21:32:26.000Z",
  "title": "Some integer values in the spectra of burnt pancake graphs",
  "authors": [
    "Saúl A. Blanco",
    "Charles Buehrle"
  ],
  "comment": "8 pages, 1 figure",
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "abstract": "Here we discuss spectral properties of the burnt pancake graph $\\mathbf{BP}_n$. More precisely, we prove that the adjacency spectrum of $\\mathbf{BP}_n$ contains all integer values in the set $\\{0, 1, \\ldots, n\\}\\setminus\\{\\left\\lfloor n/2 \\right\\rfloor\\}$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-09T21:32:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50",
      "68R10",
      "G.2.1",
      "G.2.2"
    ],
    "keywords": [
      "burnt pancake graph",
      "integer values",
      "spectral properties",
      "adjacency spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}