Computing Energy and Some Topological Indices of

Abstract

For a commutative ring , the total graph of which denoted by , is a graph with all elements of R as vertices, and two distinct vertices are adjacent if and only if , where denotes the set of zero-divisors of R. In an earlier study, we computed Wiener, hyper-Wiener, reverse Wiener, Randic , Zagreb, and indices of zero-divisor graph. In this study, some computer programs are prepared to calculate the zero-divisors and adjacency matrix of the given graph which, apply these programs to compute the energy and first edge-Wiener, sum-connectivity, harmonic, augmented Zagreb and hyper-Zagreb indices.