{
  "id": "1704.03787",
  "version": "v1",
  "published": "2017-04-12T15:01:19.000Z",
  "updated": "2017-04-12T15:01:19.000Z",
  "title": "Automorphisms of the subspace sum graphs on a vector space",
  "authors": [
    "Fenglei Tian",
    "Dein Wong"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "The subspace sum graph $\\mathcal{G}(\\mathbb{V})$ on a finite dimensional vector space $\\mathbb{V}$ was introduced by Das [Subspace Sum Graph of a Vector Space, arXiv:1702.08245], recently. The vertex set of $\\mathcal{G}(\\mathbb{V})$ consists of all the nontrivial proper subspaces of $\\mathbb{V}$ and two distinct vertices $W_1$ and $W_2$ are adjacent if and only if $W_1+W_2=\\mathbb{V}$. In that paper, some structural indices (e.g., diameter, girth, connectivity, domination number, clique number and chromatic number) were studied, but the characterization of automorphisms of $\\mathcal{G}(\\mathbb{V})$ was left as one of further research topics. Motivated by this, we in this paper characterize the automorphisms of $\\mathcal{G}(\\mathbb{V})$ completely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-12T15:01:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "subspace sum graph",
      "automorphisms",
      "finite dimensional vector space",
      "nontrivial proper subspaces",
      "structural indices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}