Some New Topological Indices for the Divisor Graphs

The study of chemical compounds and the characteristics of those compounds is made possible by topological indices, which are numerical values that describe the topology of a graph. In this study, we examine different structural characteristics of the divisor graph G, such as its Terminal Wiener Index, Multiplicative Wiener Index, Average Distance Index, Status Sombor Index and first Zagreb Index. In relation to n, explicit expressions for these indices are derived. In addition, we investigate the properties of the multiplicative Zagreb indices within the framework of the divisor graph after establishing limits for them. Understanding the structure and characteristics of molecules and compounds is made easier by studying topological indices. The Divisor Graph, which is defined as an ordered pair (V, E), is the graph we present in this article as for all , with , the edge exists if and only if or . Additionally, we calculate Terminal Wiener Index, Multiplicative Wiener Index, Average Distance Index, Status Sombor Index and first Zagreb Index of the Divisor graph.