An Arithmetic-Geometric Index for Different Signed Graphics

Abstract

A topological index, which is often referred to as a connectivity index, is a molecular structure descriptor that describes the topology of a chemical molecule based on its molecular network. Different topological indices are divided into groups according to their degree, spectrum, and distance. In this investigation, we computed and examined degree-based topological indices, including the positive and negative arithmetic-geometric indices ( and ). Index) and index in regular graphs, complete graphs, complete bipartite graphs, union of graphs, and join of graphs are further examined and derived. Provide examples to further clarify the theory