Computing the Wiener index of a TUC4C8(S) nanotorus

The Wiener index is a graphical invariant that has found extensive application in chemistry. It is defined as W(G) = 1/2 Sigma({x,y}subset of V(G))d(x,y), where V(G) is the set of all vertices of G and for x,y is an element of V(G), d(x,y) denotes the length of a minimal path between x and y. In this paper an algorithm for computing the distance matrix of a TUC4C8 (R) nanotorus T = T[m,n] is given. Using this matrix, the following expression for the Wiener index of T is obtained, [GRAPHICS]