{
  "id": "1708.04674",
  "version": "v1",
  "published": "2017-08-15T20:16:37.000Z",
  "updated": "2017-08-15T20:16:37.000Z",
  "title": "A Meyniel-type condition for bipancyclicity in balanced bipartite digraphs",
  "authors": [
    "Janusz Adamus"
  ],
  "comment": "Comments are welcome!",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove that a strongly connected balanced bipartite digraph $D$ of order $2a$, $a\\geq3$, satisfying $d(u)+d(v)\\geq 3a$ for every pair of vertices $u,v$ with a common in-neighbour or a common out-neighbour, is either bipancyclic or a directed cycle of length $2a$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-15T20:16:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C20",
      "05C38",
      "05C45"
    ],
    "keywords": [
      "meyniel-type condition",
      "bipancyclicity",
      "strongly connected balanced bipartite digraph",
      "common in-neighbour",
      "common out-neighbour"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}