Relations on irredundance and domination number for six regular graph with girth 3

Abstract

In this paper, we discuss about the irredundant number, upper irredundnat number and domination number denoted by $\operatorname{ir}(G(n)), I R(G(n))$ and $\gamma(G(n))$ respectively for 6-regular graphs of $n$ vertices with girth 3 . Here, $G(n)$ denotes the 6-regular graphs on $n$ vertices with girth 3 . We further establish some relation between $\operatorname{ir}(G(n)), I R(G(n))$ and $\gamma(G(n))$.