{
  "id": "2412.02584",
  "version": "v1",
  "published": "2024-12-03T17:10:34.000Z",
  "updated": "2024-12-03T17:10:34.000Z",
  "title": "Facet-Hamiltonian cycles in the $B$-permutahedron",
  "authors": [
    "Nastaran Behrooznia",
    "Sofia Brenner",
    "Arturo Merino",
    "Torsten Mütze",
    "Christian Rieck",
    "Francesco Verciani"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We construct facet-Hamiltonian cycles in the $B$-permutahedron, resolving a conjecture raised in a recent paper by Akitaya, Cardinal, Felsner, Kleist and Lauff [arxiv.org/abs/2411.02172].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-03T17:10:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "permutahedron",
      "construct facet-hamiltonian cycles",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}