{
  "id": "1906.01723",
  "version": "v1",
  "published": "2019-06-04T20:56:57.000Z",
  "updated": "2019-06-04T20:56:57.000Z",
  "title": "A Best Possible Result for the Square of a 2-Block to be Hamiltonian",
  "authors": [
    "Jan Ekstein",
    "Herbert Fleischner"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "It is shown that for any choice of four different vertices x_1,...,x_4 in a 2-block G of order p>3, there is a hamiltonian cycle in G^2 containing four different edges x_iy_i of E(G) for certain vertices y_i, i=1,2,3,4. This result is best possible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-04T20:56:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C38",
      "05C45"
    ],
    "keywords": [
      "hamiltonian cycle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}