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arXiv · 1806.07191

Independent graph of the finite group

T. Chalapathi·R. V M S S Kiran Kumar
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Abstract

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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T. Chalapathi, R. V M S S Kiran Kumar. 2018-06-19. Independent graph of the finite group. https://arxiv.org/abs/1806.07191

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