Abstract

In this paper, we study the Revan topological indices and the corresponding polynomials of bridge graphs over path, cycle and complete graphs. By means of the structural properties and the analysis of the vertex degree we obtain compact analytical expressions and show the influence of the graph connectivity on such descriptors. The results provide a clear comparison of the behavior of indices in different graph classes and show the influence of graph size and structure on their values. Moreover, the obtained polynomials give better understanding of the distribution of these indices in the graphs. This paper broadens the range of application of Revan indices and provides a useful basis for future studies in graph theory and analysis of complex networks.