On Vertex-Degree-Based Indices of Monogenic Semigroup Graphs

Abstract

Albertson and the reduced Sombor indices are vertex-degree-based graph invariants that given in [5] and [18], defined as
 
 Alb(G)=\sum_{uv\in E(G)}\left|d_{u}-d_{v}\right|, SO_{red}(G)=\sum_{uv\in E(G)}\sqrt{(d_{u}-1)^{2}+(d_{v}-1)^{2}},
 
 respectively. 
 
 In this work we show that a calculation of Albertson and reduced Sombor index which are vertex-degree-based topological indices, over monogenic semigroup graphs.