Independent graph of the finite group

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 vertice...

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Bibliographic Details
Published in:arXiv.org 2018-06
Main Authors: Chalapathi, T, R V M S S Kiran Kumar
Format: Article
Language:English
Subjects:
Apexes
Graph theory
Integers
Online Access:Get full text
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Summary: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.
ISSN:2331-8422