{
  "id": "1807.00032",
  "version": "v1",
  "published": "2018-06-29T18:37:26.000Z",
  "updated": "2018-06-29T18:37:26.000Z",
  "title": "A degree condition for diameter two orientability of graphs",
  "authors": [
    "Éva Czabarka",
    "Peter Dankelmann",
    "László A. Székely"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "For $n \\in \\mathbb{N}$ let $\\delta_n$ be the smallest value such that every graph of order $n$ and minimum degree at least $\\delta_n$ admits an orientation of diameter two. We show that $\\delta_n=\\frac{n}{2} + \\Theta(\\ln n)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-29T18:37:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C12",
      "05C20",
      "05C35"
    ],
    "keywords": [
      "degree condition",
      "orientability",
      "smallest value"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}