Total Transversals and Total Domination in Uniform Hypergraphs

Author:

Bujtás Csilla,Henning Michael,Tuza Zsolt,Yeo Anders

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.

Publisher

The Electronic Journal of Combinatorics

Subject

Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Lower bounds on Tuza constants for transversals in linear uniform hypergraphs;Discrete Applied Mathematics;2021-12

2. Affine Planes and Transversals in 3-Uniform Linear Hypergraphs;Graphs and Combinatorics;2021-03-13

3. Domination and Total Domination in Hypergraphs;Developments in Mathematics;2020-09-15

4. Bounds on upper transversals in hypergraphs;Journal of Combinatorial Optimization;2019-10-19

5. Domination game on uniform hypergraphs;Discrete Applied Mathematics;2019-04

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