generalized schultz and gutman indices

The degree and distance both are significant conceptsin graphs with widespread utilization. the combined study ofthese concepts has given a new direction to the topological in-dices. in this article, we present the generalized degree distanceindices (generalized first schultz indices) dd(a;b), and generalizedgutman indices (second schultz indices) zz(a;b). the computedvalues of these indices on certain families of graphs along with somebounds and characterizations are obtained. also, we present therelationship between dd(a;b) and zz(a;b). further, we present theschultz polynomials along with the statistical analysis of certaingraphs.