{
  "id": "1512.00480",
  "version": "v1",
  "published": "2015-12-01T21:07:19.000Z",
  "updated": "2015-12-01T21:07:19.000Z",
  "title": "A degree sum condition for hamiltonicity in balanced bipartite digraphs",
  "authors": [
    "Janusz Adamus"
  ],
  "comment": "9 pages. arXiv admin note: text overlap with arXiv:1506.07949 by other authors",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove that a strongly connected balanced bipartite digraph $D$ of order $2a$ is hamiltonian, provided $a\\geq3$ and $d(x)+d(y)\\geq 3a$ for every pair of vertices $x$, $y$ with a common in-neighbour or a common out-neighbour in $D$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-01T21:07:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C20",
      "05C38",
      "05C45"
    ],
    "keywords": [
      "degree sum condition",
      "hamiltonicity",
      "strongly connected balanced bipartite digraph",
      "common in-neighbour",
      "common out-neighbour"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}