Computing Bounds for General Randic Coindex of Sum Graphs

Abstract

The physical and structural properties of molecular structure or graph such as boiling point, melting point, surface tension, or solubility are studied using topological index (TI). Topological index is a mathematical formula that can be applied to any graph which models some molecular structures. The various operations play an important role in graph theory such as joining, union, intersection, products, and subdivision. In this paper, we computed the bounds for general Randic coindex of $F$ -sum graphs such as ( $S$ -sum, $R$ -sum, $Q$ -sum, and $T$ -sum) in the form of their factor graphs. At the end, results are illustrated by numerical table for the particular $F$ -sum graphs.