On Some Structural Properties of G_{m,n} Graphs

Abstract

This is the continuation of the study on an undirected graph $G_{m,n}$ where vertex set $V=I_n=\{1,2,3,\cdots,n\}$ and $a,b\in V$ are adjacent if and only if $a\neq b$ and $a+b$ is not divisible by $m$, where $m(>1)\in \mathbb{N}$. In the present paper we computed the diameter, Weiner index, degree distance, independence number of the graph $G_{m,n}$. We also studied the complement of the graph $G_{m,n}$.