Vicente Garcia Espeso, Jose Javier Molins Vara,
Beatriz Roy Lazaro, Felix Riera Parcerisas, and Dejan Plavsic
Institut Quimic de Sarria, Universitat Ramon Llull, Barcelona, Spain
Enginyeria La Salle, Universitat Ramon Llull, Barcelona, Spain
$The R. Boskovic Institute, Zagreb, Croatia
The decomposition of the Hosoya Z matrix into the sum of kZ
matrices, k = 0, 1, 2, ..., is proposed. The kZ
matrix is based on the independent sets of k edges of the spanning
subgraphs generated in the construction of the Z matrix. The Hosoya
hyperindex H and a set of structurally related molecular indices kZ
defined as the sum of all off-diagonal entries in the upper triangle
of the Z matrix and the corresponding kZ matrices, respectively,
are put forward and studied analytically.