A Note on Inequalities for Three Domination Parameters

Abstract

In this short paper, we establish relations between the domination number ${\hat{I}}^3$, the total domination number ${\hat{I}}_t^3$, and the connected domination number ${\hat{I}}_c^3$ of a graph. In particular, we prove upper and lower bounds for ${\hat{I}}_t^3$ in terms of ${\hat{I}}^3$ and ${\hat{I}}_c^3$.