On Characterization of Quadratic Exponential Invertible Graphs.

In this paper, we investigate the notion of quadratic exponential invertible graphs whose vertex set is reduced residue system mod n and there will be an edge between x and y such that x2α ≡ y2α (mod n) for some positive integer α. The proposed graph is completely characterized for each positive integer n and also, we find the class of integers in which quadratic exponential invertible graphs are isomorphic to each other. Moreover, the class of those integers is investigated in which the proposed graph is a complete graph. [ABSTRACT FROM AUTHOR]