{
  "id": "2001.09333",
  "version": "v1",
  "published": "2020-01-25T15:16:08.000Z",
  "updated": "2020-01-25T15:16:08.000Z",
  "title": "The mixed metric dimension of flower snarks and wheels",
  "authors": [
    "Milica Milivojevic Danas"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "New graph invariant, which is called mixed metric dimension, has been recently introduced. In this paper, exact results of mixed metric dimension on two special classes of graphs are found: flower snarks $J_n$ and wheels $W_n$. It is proved that mixed metric dimension for $J_5$ is equal to 5, while for higher dimensions it is constant and equal to 4. For $W_n$, its mixed metric dimension is not constant, but it is equal to $n$ when $n\\geq 4$, while it is equal to 4, for $n=3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-25T15:16:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C12",
      "G.2.1",
      "G.2.2"
    ],
    "keywords": [
      "mixed metric dimension",
      "flower snarks",
      "graph invariant",
      "higher dimensions",
      "exact results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}