Independent Domination Number of Cayley Graphs on ${\mathbb{Z}}_n$

Abstract

A Cayley graph is a graph constructed out of a group $\mathrm{\Gamma }$ and its generating set $A$. In this paper, we determine the independent domination number, perfect domination number, and independent dominating sets of $Cay({\mathbb{Z}}_n,A)$, for a specified generating set $A$ of ${\mathbb{Z}}_n$.