on the distance-based indices of mobius function graph of finite groups

In the domain of mathematical chemistry and graph theory, topological indices have emerged as vital tools for quantifying the structural properties of molecular graphs. recently, the mobius function graph of a finite group has  earned significant attention due to its connections with algebraic and topological structures. however, determination of  the topological indices of these graphs remain largely unexplored. in this paper we compute and investigate the  relationships between several distance-based topological indices, including the mostar index, weighted mostar index,  szeged index, weighted szeged index, pi index and weighted pi index, for the mobius function graphs of finite groups.