ECCENTRICITY ATOM-BOND CONNECTIVITY INDEX OF POLYCYCLIC AROMATIC HYDROCARBON PAHkAbstract
Let G=(V,E) be molecular graph with vertex set V (G) and edge set E(G) in which the set of vertices and the set of edges of the graph correspond to the atoms of the molecule and chemical bonds, respectively. We denote d(u,v) the distance between u and v i.e the length of the shortest path connecting u and v. The eccentricity of a vertex in V(G) is defined to be Recently, we proposed the fifth atom-bond connectivity index of a simple connected graph G as . In this paper, we present more study of the fifth atom-bond connectivity index and compute this new index of polycyclic aromatic hydrocarbons.
M. R. Rajesh Kanna, R. P. Kumar, Md. Kamran Jamil and Md. Reza Farahani *
Department of Applied Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran, Iran
05 July, 2016
17 August, 2016
02 September, 2016
01 January, 2017