{
  "id": "1603.02562",
  "version": "v1",
  "published": "2016-03-08T15:54:11.000Z",
  "updated": "2016-03-08T15:54:11.000Z",
  "title": "On Resolvability of a Graph Associated to a Finite Vector Space",
  "authors": [
    "Usman Ali",
    "Syed Ahtisham Bokhary",
    "Khola Wahid"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "The metric dimension of non-component graph $\\Gamma(\\mathbb{V})$ on $n$-dimensional vector space $\\mathbb{V}$ over a finite field $\\mathbb{F}$ is determined. It is showed that the exchange property holds for resolving sets of the graph, except when the cardinality of $\\mathbb{F}$ is $2$ and dimension of $\\mathbb{V}$ is $\\geq 3$. Some results are also related to an intersection graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-08T15:54:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C12",
      "05C25",
      "05C62"
    ],
    "keywords": [
      "finite vector space",
      "resolvability",
      "exchange property holds",
      "dimensional vector space",
      "intersection graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160302562A"
    }
  }
}