On topological properties of some molecular cactus chain networks and their subdivisions by using line operator

Abstract

The mathematical chemistry is the part of theoretical chemistry which is concerned with applications of mathematical applications and methods to chemical problems. Graph theory is the most important part of mathematical chemistry. It studies of descriptors in quantitative structure property relationship (QSPR) and quantitative structure activity relationship (QSAR) studies in the chemistry science. Let G = (V(G), E(G)) be a chemical graph without directed and multiple edges and without loops. There are a lot of topological indices in QSPR/QSAR studies. In this paper, some degree-based topological indices namely first general Zagreb index, general Randic connectivity index, general sum-connectivity index, atom-bond connectivity index, geometric-arithmetic index, ABC₄(G) index and GA₅(G) index are computed for the line graphs and para-chain graphs of meta-chain M_n, para-chain L_n and ortho-chain O_n.

Subject Classification: (2010):

• 05C12
• 05C35
• 05C90
• 37F20
• 92E10

Keywords:

• Chemical graph theory
• Hexagonal cactus chains
• Line graphs
• Topological indices
• Degree