Abstract

In this paper we are newly described the product maximal graph denoted by $\Gamma_{pm}(R)$ where $R$ is the finite CRU. Consider $M_1, M_2, ..., M_r$ be the maximal - ideals of $R$. Also, the concept of dominating set and some parameters like connected, independent dominating set et al. for the product maximal graph are interpreted.

Keywords and Phrases

Product Maximal Graph, Dominating set, Connected dominating set, Independent dominating set.

A.M.S. subject classification

05CXX, 05C69.

.....