arXiv Analytics

Sign in

arXiv:1310.7359 [math.CO]AbstractReferencesReviewsResources

Total Transversals and Total Domination in Uniform Hypergraphs

Csilla Bujtás, Michael A. Henning, Zsolt Tuza, Anders Yeo

Published 2013-10-28Version 1

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.

Related articles: Most relevant | Search more
arXiv:1108.5949 [math.CO] (Published 2011-08-30)
Equality in a Linear Vizing-Like Relation that Relates the Size and Total Domination Number of a Graph
arXiv:1402.3057 [math.CO] (Published 2014-02-13)
$(2,2)$-colourings and clique-free $σ$-hypergraphs
arXiv:1408.3303 [math.CO] (Published 2014-08-14, updated 2015-02-15)
On the spectral radius of a class of non-odd-bipartite even uniform hypergraphs