Strong Dominating Sets of Direct Product Graph of Cayley Graphs with Arithmetic Graphs

Abstract

Graph Theory has been realized as one of the most flourishing branches of modern Mathematics finding widest applications in all most all branches of Sciences, Social Sciences, Engineering, Computer Science, etc. Number Theory is one of the oldest branches of Mathematics, which inherited rich contributions from almost all greatest mathematicians, ancient and modern. Product of graphs are introduced in Graph Theory very recently and developing rapidly. In this paper, we consider strong product graphs of Cayley graphs with Arithmetic graphs and present strong domination parameter of these graphs.