Molecular descriptors of a generalized Kneser-type bipartite graph

Abstract

This research paper focuses on the computation and analysis of molecular descriptors or topological indices for a generalised Kneser-type bipartite graph called bipartite Kneser B type-k graph denoted by H<inf>B</inf> (n, k). Topological indices are formulae that are obtained from graph connectivity patterns and are used to summarise and compress the data that is included in those patterns. In this study, we systematically compute several well-known degree based topological indices of H<inf>B</inf> (n, k). We employ combinatorial methods and graph-theoretic techniques to derive explicit formulas and recursive relations for these indices. These results provide insights into the structural properties of this graph.