  Let a and b be any two elements in the group Zn of integers modulo n. Then a
and b are called independent if O(a) not equal to O(b) . In this paper, we
introduce and study independent graph of the group Zn, denoted by IG(Zn), is
undirected simple graph whose vertex set is Zn and two distinct vertices a and
b are adjacent in IG(Zn) if and only if a and b are independent in Zn.
