Hyper Wiener index of zigzag polyhex nanotorus

Abstract

The hyper Wiener index of a connected graph G is defined as WW(G) = 1/2 Σ{u,v}⊆V(G) d(u, v)+1/2 Σ{u, v}1/2V(G) d(u, v) where d(u, v) is the distance between vertices u, v E V(G). In this paper we find an exact expression for hyper Wiener index of HC6[p, q], the zigzag polyhex nanotori.