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.