{
  "id": "1101.4973",
  "version": "v2",
  "published": "2011-01-25T23:22:08.000Z",
  "updated": "2012-01-02T16:01:45.000Z",
  "title": "A degree condition for cycles of maximum length in bipartite digraphs",
  "authors": [
    "Janusz Adamus",
    "Lech Adamus"
  ],
  "comment": "8 pages, minor exposition changes",
  "journal": "Discrete Math. 312 (2012), 1117--1122",
  "doi": "10.1016/j.disc.2011.11.032",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove a sharp Ore-type criterion for hamiltonicity of balanced bipartite digraphs: A bipartite digraph D, with colour classes of cardinality N, is hamiltonian if, for every pair of vertices u and v from opposite colour classes of D such that the arc uv is not in D, the sum of the outdegree of u and the indegree of v is greater than or equal to N+2.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-02T16:01:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C20",
      "05C38",
      "05C45"
    ],
    "keywords": [
      "maximum length",
      "degree condition",
      "sharp ore-type criterion",
      "opposite colour classes",
      "balanced bipartite digraphs"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.4973A"
    }
  }
}