{
  "id": "math/0607465",
  "version": "v1",
  "published": "2006-07-19T14:37:43.000Z",
  "updated": "2006-07-19T14:37:43.000Z",
  "title": "Distinguishing colorings of Cartesian products of complete graphs",
  "authors": [
    "Michael J. Fisher",
    "Garth Isaak"
  ],
  "comment": "11 pages. Submitted for publication",
  "categories": [
    "math.CO"
  ],
  "abstract": "We determine the values of s and t for which there is a coloring of the edges of the complete bipartite graph K_{s,t} which admits only the identity automorphism. In particular this allows us to determine the distinguishing number of the Cartesian product of complete graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-19T14:37:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C25"
    ],
    "keywords": [
      "complete graphs",
      "cartesian product",
      "distinguishing colorings",
      "complete bipartite graph",
      "identity automorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7465F"
    }
  }
}