DEGREE BASED TOPOLOGICAL INVARIANTS OF SPLITTING GRAPH

Abstract

Topological invariants are the graph theoretical tools to the theoretical chemists, that correlates the molecular structure with several chemicalreactivity, physical properties or biological activity numerically. A functionhaving a set of networks(graph, molecular structure) as its domain and a setof real numbers as its range is referred as a topological invariant(index). Topological invariants are numerical quantity of a network that are invariant undergraph isomorphism. Topological invariants such as Zagreb index, Randi¥c indexand multiplicative Zagreb indices are used to predict the bioactiviy of chemical compounds in QSAR/QSPR study. In this paper, we compute the generalexpression of certain degree based topological invariants such as second Zagrebindex, F-index, Hyper-Zagreb index, Symmetric division degree index, irregularity of Splitting graph. And also we obtain upper bound for Örst and secondmultiplicative Zagreb indices of Splitting graph of a graph H, (S0(H)).