Neighborhood Indices of Nanostructures

Abstract

A topological index is a numerical parameter mathematically derived from the graph structure. In this study, we propose
the modied rst neighborhood index, neighborhood inverse degree, neighborhood zeroth order index, F-neighborhood
index and general rst neighborhood index of a graph. Also we introduce the rst neighborhood polynomial, total
neighborhood polynomial and F-neighborhood polynomial of a graph. Furthermore we compote exact formulas for line
graphs of subdivision graphs of 2D-lattice, nanotube and nantorus of TUC4C8[p; q].