{
  "id": "1311.2785",
  "version": "v3",
  "published": "2013-11-12T14:17:26.000Z",
  "updated": "2014-05-14T07:21:32.000Z",
  "title": "On the Buratti-Horak-Rosa Conjecture about Hamiltonian Paths in Complete Graphs",
  "authors": [
    "Anita Pasotti",
    "Marco Antonio Pellegrini"
  ],
  "comment": "Previously submitted with the title \"On BHR({1^a,2^b,t^c}) when t is even\"",
  "journal": "The Electronic Journal of Combinatorics Volume 21, Issue 2 (2014) #P2.30",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we investigate a problem proposed by Marco Buratti, Peter Horak and Alex Rosa (denoted by BHR-problem) concerning Hamiltonian paths in the complete graph with prescribed edge-lengths. In particular we solve BHR({1^a,2^b,t^c}) for any even integer t>=4, provided that a+b>=t-1. Furthermore, for t=4,6,8 we present a complete solution of BHR({1^a,2^b,t^c}) for any positive integer a,b,c.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-05-14T07:21:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C38"
    ],
    "keywords": [
      "complete graph",
      "buratti-horak-rosa conjecture",
      "alex rosa",
      "concerning hamiltonian paths",
      "complete solution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.2785P"
    }
  }
}