On Simple Graphs Arising from Exponential Congruences

We introduce and investigate a new class of graphs arrived from exponential congruences. For each pair of positive integers a and b, let G(n) denote the graph for which V={0,1,…,n−1} is the set of vertices and there is an edge between a and b if the congruence ax≡b (mod n) is solvable. Let n=p1k1p2k...

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Bibliographic Details
Main Authors: M. Aslam Malik, M. Khalid Mahmood
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/292895