{
  "id": "1210.1078",
  "version": "v1",
  "published": "2012-10-03T11:50:37.000Z",
  "updated": "2012-10-03T11:50:37.000Z",
  "title": "Abelian 1-factorizations of complete multipartite graphs",
  "authors": [
    "Mathieu Bogaerts"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "An automorphism group G of a 1-factorization of the complete multipartite graph $K_{m\\times n}$ consists in permutations of the vertices of the graph mapping factors to factors. In this paper, we give a complete answer to the existence or non-existence problem of a 1-factorization of $K_{m\\times n}$ admitting an abelian group acting sharply transitively on the vertices of the graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-03T11:50:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complete multipartite graph",
      "group acting",
      "automorphism group",
      "complete answer",
      "non-existence problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.1078B"
    }
  }
}