Algebraic connections between topological indices

A relation has been recently established between the Wiener number W and an immanant of the Laplacian matrix of the molecular graph [Chan, O.; Lam, T. K.; Merris, R. J. Chem. Inf: Comput. Sci. 1997, 37, 762-765]. On the basis of this result we now show that there exist algebraic connections between W and certain molecular-graph-based structure descriptors which, until now, were believed not to be related to W, namely the Hosoya index and quantities derived from it and the simple topological index of Narumi.