{
  "id": "1310.7359",
  "version": "v1",
  "published": "2013-10-28T09:57:25.000Z",
  "updated": "2013-10-28T09:57:25.000Z",
  "title": "Total Transversals and Total Domination in Uniform Hypergraphs",
  "authors": [
    "Csilla Bujtás",
    "Michael A. Henning",
    "Zsolt Tuza",
    "Anders Yeo"
  ],
  "comment": "24 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The first three authors [European J. Combin. 33 (2012), 62--71] established a relationship between the transversal number and the domination number of uniform hypergraphs. In this paper, we establish a relationship between the total transversal number and the total domination number of uniform hypergraphs. We prove tight asymptotic upper bounds on the total transversal number in terms of the number of vertices, the number of edges, and the edge size.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-28T09:57:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C65",
      "05C69"
    ],
    "keywords": [
      "uniform hypergraphs",
      "total transversal number",
      "tight asymptotic upper bounds",
      "total domination number",
      "relationship"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.7359B"
    }
  }
}