Hegde, S.M.Vasudeva, n.2026-02-062016AIP Conference Proceedings, 2016, Vol.1739, , p. -0094243Xhttps://doi.org/10.1063/1.4952506https://idr.nitk.ac.in/handle/123456789/32101A 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 ⊂ Z<inf>n</inf>, the set of all positive zero-divisors of the ring Z<inf>n</inf> such that V = S and (x, y) E if and only if y-x ≈ w(mod n) for some w V. If S = Z<inf>n</inf>, 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).