{
  "id": "1105.0803",
  "version": "v1",
  "published": "2011-05-04T12:29:07.000Z",
  "updated": "2011-05-04T12:29:07.000Z",
  "title": "Results on the intersection graphs of subspaces of a vector space",
  "authors": [
    "N. Jafari Rad",
    "S. H. Jafari"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "For a vector space $V$ the \\emph{intersection graph of subspaces} of $V$, denoted by $G(V)$, is the graph whose vertices are in a one-to-one correspondence with proper nontrivial subspaces of $V$ and two distinct vertices are adjacent if and only if the corresponding subspaces of $V$ have a nontrivial (nonzero) intersection. In this paper, we study the clique number, the chromatic number, the domination number and the independence number of the intersection graphs of subspaces of a vector space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-04T12:29:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vector space",
      "intersection graphs",
      "proper nontrivial subspaces",
      "one-to-one correspondence",
      "chromatic number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.0803J"
    }
  }
}