Total Transversals and Total Domination in Uniform Hypergraphs
Combinatorics
2013-10-29 v1
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.
Cite
@article{arxiv.1310.7359,
title = {Total Transversals and Total Domination in Uniform Hypergraphs},
author = {Csilla Bujtás and Michael A. Henning and Zsolt Tuza and Anders Yeo},
journal= {arXiv preprint arXiv:1310.7359},
year = {2013}
}
Comments
24 pages