On Derivative Euler Phi Function Set-Graphs

Abstract

In this paper, we study some graph theoretical properties of two derivative Euler Phi function set-graphs. For the Euler Phi function φ(n), n∈ N, the set Sφ(n) =\i:(i,n)=1, 1≤ i ≤ n\ and the vertex set is \vi:i∈ Sφ(n)\. Two graphs Gd(Sφ(n)) and Gp(Sφ(n)), defined with respect to divisibility adjacency and relatively prime adjacency conditions, are studied.

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