Hegde, S.M.Vasudeva2020-03-302020-03-302016AIP Conference Proceedings, 2016, Vol.1739, , pp.-https://idr.nitk.ac.in/handle/123456789/6786A graph G = (V, E) is a proper zero-divisor difference graph if and only if there is a positive integer n and a set S ? Zn, the set of all positive zero-divisors of the ring Zn such that V = S and (x, y) E if and only if y-x ? w(mod n) for some w V. If S = Zn, then the graph is called a zero-divisor difference graph. In this paper we discuss the characteristics and structural properties of zero-divisor difference graphs. i.e. We prove the results on connectedness, degree, planarity, isomorphism etc. of zero-divisor difference graphs depending on the value of n. � 2016 Author(s).Book chapter