## Bahadır, Selim and Gözüpek, Didem - On a Class of Graphs with Large Total Domination Number

dmtcs:3304 - Discrete Mathematics & Theoretical Computer Science, June 4, 2018, Vol. 20 no. 1 - https://doi.org/10.23638/DMTCS-20-1-23
On a Class of Graphs with Large Total Domination Number

Authors: Bahadır, Selim and Gözüpek, Didem

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

Volume: Vol. 20 no. 1
Section: Graph Theory
Published on: June 4, 2018
Submitted on: May 3, 2017
Keywords: Mathematics - Combinatorics,05C69