{
  "id": "1703.05861",
  "version": "v1",
  "published": "2017-03-17T01:09:34.000Z",
  "updated": "2017-03-17T01:09:34.000Z",
  "title": "An Improved Bound for Upper Domination of Cartesian Products of Graphs",
  "authors": [
    "Yu-Yen Chien"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we prove a problem proposed by Bre\\v{s}ar: for any graphs $G$ and $H$, $\\Gamma(G\\square H)\\ge\\Gamma(G)\\Gamma(H)+ \\min\\{|V(G)|-\\Gamma(G),|V(H)|-\\Gamma(H)\\}$, where $\\Gamma(G)$ denotes the upper domination number of $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-17T01:09:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C69",
      "05C76"
    ],
    "keywords": [
      "cartesian products",
      "upper domination number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}