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Independent graph of the finite group
T. Chalapathi, R. V M S S Kiran Kumar · 2018-06-19 · via math.CO updates on arXiv.org

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.

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