Banhatti-Sombor Index over a Graph of a Special Class of Semigroup

Abstract

Kulli introduced the first Banhatti-Sombor index in [18] which is outlined as \begin{eqnarray*} BSO_{1}(G)=\sum_{uv\in E(G)}\frac{1}{\sqrt{(d_{u})^{2}+(d_{v})^{2}}}. \end{eqnarray*} Our research will be calculated on an algebraic formation, utilising the chief principals of Banhatti-Sombor index of monogenic semigroup graphs which was first studied by [12].