{
  "id": "2008.00225",
  "version": "v1",
  "published": "2020-08-01T09:33:19.000Z",
  "updated": "2020-08-01T09:33:19.000Z",
  "title": "Protection of graphs with emphasis on Cartesian product graphs",
  "authors": [
    "Magdalena Valveny",
    "Juan Alberto Rodriguez-Velazquez"
  ],
  "journal": "Filomat 33 (1) (2019) 319-333",
  "doi": "10.2298/FIL1901319V",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we study the weak Roman domination number and the secure domination number of a graph. In particular, we obtain general bounds on these two parameters and, as a consequence of the study, we derive new inequalities of Nordhaus-Gaddum type involving secure domination and weak Roman domination. Furthermore, the particular case of Cartesian product graphs is considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-01T09:33:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C69",
      "05C76"
    ],
    "keywords": [
      "cartesian product graphs",
      "protection",
      "weak roman domination number",
      "secure domination number",
      "general bounds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}