T.I. calc: topological indices calculator app

Calculator apps are digital tools that can be used on mobile devices, tablets, or computers for performing mathematical calculations. MATLAB has become widely recognised as a powerful tool for developing calculator apps, utilising MATLAB App Designer's advanced capabilities. Topological indices are numbers that describe the topology of a graph and its properties. Over the last two decades, researchers have successfully correlated numerous topological indices with a variety of physical and physicochemical properties. The most significant types of topological indices of graphs are degree-based and distance-based topological indices. The degree-based topological indices studied in this research include the first general Zagreb index, the zeroth-order Randić index, and the reduced first Zagreb index. The distance-based topological indices include the Wiener index, the hyper-Wiener index, and the Harary index. In graph theory, a zero divisor graph is one in which the vertices are the zero divisors of a ring, and two vertices are adjacent if their product is zero. The set of vertices, the set of edges, and the degree of a vertex in the zero divisor graph for the integers modulo ring are determined in order to generate the programming code for the calculator app. This code is based on basic definitions and previous results in graph theory and ring theory. The development of this topological indices calculator app, which is named as T.I. CALC, uses MATLAB App Designer with user-friendly interfaces and features for computing the topological indices. This app has the capability of visualising and displaying the results.