Generalized Schultz and Gutman Indices

نویسندگان

1 Department of Mathematics, Bangalore University, Janabharathi Campus, Bengaluru-560 056, Karnataka, INDIA

2 Department of Mathematics, Bearys Institute of Technology, Mangaluru-574199, Karnataka, INDIA

3 Department of Mathematics, Bangalore University, Janabharathi Campus, Bengaluru-560 056, Karnataka, INDIA

doi
10.22052/ijmc.2022.246460.1629
چکیده

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.