COMPUTATION OF FIRST ZAGREB, SECOND ZAGREB AND FORGOTTEN INDICES OF GRAPHS BASED ON SPLITTING GRAPH

The First Zagreb, Second Zagreb, and Forgotten indices are degree-based topological indices used to analyse the properties of chemical compounds. In graph theory, a molecular graph can represent the structural formula of a chemical compound. This paper aims to calculate the exact formulae of the First Zagreb, Second Zagreb, and Forgotten indices for the graphs obtained by applying operations on the splitting graph of a connected graph. Thus, a relation between the topological index of the original graph and the resultant graphs is established.