Calculating Topological Indices of Benes and Butterfly Network

Abstract

A graph is numerically represented by topological indices. These indices are crucial for topological indices because they affect the quantity structure property connection and the quantitative structure-activity relationship. In parallel computing, digital signal processing, communications, data centers, and network-on-chip design, benes are utilized. In this article, we calculated the quadratic-Contraharmonic index (QCI), contra harmonic-quadratic index (CQI), geometric quadratic index (GQI), quadratic geometric index (QGI), arithmetic Contraharmonic index (ACI) and Contraharmonic arithmetic index (CAI) for the cylindrical Benes network  and for both horizontal and vertical and Butterfly network. We use MATLAB tool to give study these networks graphically and draw the comparison bar graphs.