The F-index and coindex of V-Phenylenic Nanotubes and Nanotorus and their molecular complement graphs

Abstract

The forgotten topological index was defined to be used in the analysis of chemical structures which often appear in drug molecular graphs. In this paper, we studied the F-index and F-coindex for certain important physico chemical structures such as V-Phenylenic Nanotube V P HX[m, n] and V-Phenylenic Nanotorus V P HY [m, n] and their molecular complement graph. Moreover, we computed F-polynomial of the V-Phenylenic Nanotubes and Nanotorus. These explicit formulae can correlate the chemical structure of molecular graphs of Nanotubes and Nanotorus to information about their physicochemical structure.

The Second Hyper-Zagreb Index and Coindex of Chemical Nano-structures in Drugs

“…In 1972, Gutman and Trinajsti'c [8,9] introduced the first degree-based structure descriptors, namely the first and second Zagreb indices. In 2015, Furtula et al [10][11][12][13] proposed a novel degreebased structure descriptor known as the forgotten index (F-index). Recently, in 2020, Alameri et al [14] defined another degree-based structure descriptor denoted as the Y-index.…”