Degree based topological invariants of splitting graph

Authors : G MOHANAPPRİYA, D. VİJAYALAKSHMİ

Pages : 1341-1349

Doi:10.31801/cfsuasmas.526546

View : 9 | Download : 8

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :Topological invariants are the graph theoretical tools to the theoretical chemists, that correlates the molecular structure with several chemical reactivity, physical properties or biological activity numerically. A function having a set of networksinsert ignore into journalissuearticles values(graph, molecular structure); as its domain and a set of real numbers as its range is referred as a topological invariantinsert ignore into journalissuearticles values(index);. Topological invariants are numerical quantity of a network that are invariant under graph isomorphism. Topological invariants such as Zagreb index, Randić index and multiplicative Zagreb indices are used to predict the bioactiviy of chemical compounds in QSAR/QSPR study. In this paper, we compute the general expression of certain degree based topological invariants such as second Zagreb index, F-index, Hyper-Zagreb index, Symmetric division degree index, irregularity of Splitting graph. And also we obtain upper bound for first and second multiplicative Zagreb indices of Splitting graph of a graph H, insert ignore into journalissuearticles values(S′insert ignore into journalissuearticles values(H););.
Keywords : Topological invariant, degree based invariant, splitting graph