{
  "id": "2011.01078",
  "version": "v1",
  "published": "2020-11-02T16:07:40.000Z",
  "updated": "2020-11-02T16:07:40.000Z",
  "title": "Italian Domination of Cartesian Products of Directed Cycles",
  "authors": [
    "Christopher M. van Bommel"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "An Italian dominating function on a (di)graph $G$ with vertex set $V(G)$ is a function $f: V(G) \\to \\{0, 1, 2\\}$ such that every vertex $v \\in V(G)$ such that $f(v) = 0$ has an (in)neighbour assigned 2 or two (in)neighbours assigned 1. We complete the investigation of the Italian domination numbers of Cartesian products of directed cycles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-02T16:07:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C69"
    ],
    "keywords": [
      "cartesian products",
      "directed cycles",
      "italian domination numbers",
      "vertex set",
      "italian dominating function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}