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arXiv · 1704.04145

On a Class of Graphs with Large Total Domination Number

Selim Bahadır·Didem Gözüpek
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Abstract

Let $γ(G)$ and $γ_t(G)$ denote the domination number and the total domination number, respectively, of a graph $G$ with no isolated vertices. It is well-known that $γ_t(G) \leq 2γ(G)$. We provide a characterization of a large family of graphs (including chordal graphs) satisfying $γ_t(G)= 2γ(G)$, strictly generalizing the results of Henning (2001) and Hou et al. (2010), and partially answering an open question of Henning (2009).

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Selim Bahadır, Didem Gözüpek. 2018-05-29. On a Class of Graphs with Large Total Domination Number. https://doi.org/10.23638/dmtcs-20-1-23

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