An Application of Sombor Index over a Special Class of Semigroup Graph

Abstract

Recently, Gutman introduced a class of novel topological invariants named Sombor index which is defined as $SO\left(G\right)={\displaystyle {\sum }_{uv\in E\left(G\right)}\sqrt{{\left(d_u\right)}^2+{\left(d_v\right)}^2}}$ . In this study, the Sombor index of monogenic semigroup graphs, which is an important class of algebraic structures, is calculated.