Domination parameters and diameter of Abelian Cayley graphs

Abstract

Using the domination parameters of Cayley graphs constructed out of ${\mathbb{Z}}_p\times {\mathbb{Z}}_m$, where $m\in \{p^{\alpha },p^{\alpha }{q}^{\beta },p^{\alpha }{q}^{\beta }{r}^{\gamma }\},$ in this paper we are discussing about the total and connected domination number and diameter of these Cayley graphs.