Total Transversals and Total Domination in Uniform Hypergraphs

Csilla Bujtás, Michael Henning, Zsolt Tuza, Anders Yeo

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.


Keywords


Total domination; Total transversal; Hypergraph

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