{
  "id": "0712.1622",
  "version": "v1",
  "published": "2007-12-11T00:34:48.000Z",
  "updated": "2007-12-11T00:34:48.000Z",
  "title": "Primitive decompositions of Johnson graphs",
  "authors": [
    "Alice Devillers",
    "Michael Giudici",
    "Cai Heng Li",
    "Cheryl E. Praeger"
  ],
  "comment": "35 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "A transitive decomposition of a graph is a partition of the edge set together with a group of automorphisms which transitively permutes the parts. In this paper we determine all transitive decompositions of the Johnson graphs such that the group preserving the partition is arc-transitive and acts primitively on the parts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-11T00:34:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C25",
      "20B25"
    ],
    "keywords": [
      "johnson graphs",
      "primitive decompositions",
      "transitive decomposition",
      "edge set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.1622D"
    }
  }
}