Sum Graph of Z_(p^n q^m ) Groups and Some Topological Indices of G+ (Z_(p^n q^m ))

Abstract

This study introduces the extended graph theory in the sum group via , where p and q are prime integers, and the sum is more than the order of the group . If the group sum graph of  it meets the properties of the graph theory and computes all the degrees of graphs, and it will be linked, cyclic, etc. will also use a generalized version of it to calculate the well-known topological indices.