Total Transversals and Total Domination in Uniform Hypergraphs

  • Csilla Bujtás
  • Michael Henning
  • Zsolt Tuza
  • Anders Yeo
Keywords: Total domination, Total transversal, Hypergraph

Abstract

In 2012, the first three authors 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.

Author Biographies

Csilla Bujtás, University of Pannonia, Hungary
Department of Computer Science and Systems Technology
Michael Henning, University of Johannesburg
Department of Mathematics
Zsolt Tuza, Hungarian Academy of Sciences
Department of Computer Science and Systems Technology
Anders Yeo, Singapore University of Technology and Design
Engineering Systems and Design
Published
2014-05-09
Article Number
P2.24