Original scientific paper

On the Hosoya Hyperindex and the Molecular Indices Based on a New Decomposition of the Hosoya Z Matrix

Vicente García Espeso ; Institut Químic de Sarrià, Universitat Ramon Llull, E-08017 Barcelona, Spain
José Javier Molins Vara ; Institut Químic de Sarrià, Universitat Ramon Llull, E-08017 Barcelona, Spain
Beatriz Roy Lázaro ; Institut Químic de Sarrià, Universitat Ramon Llull, E-08017 Barcelona, Spain
Felix Riera Parcerisasand ; Enginyeria La Salle, Universitat Ramon Llull, E-08022 Barcelona, Spain
Dejan Plavšić ; The Ruđer Bošković Institute, P. O. Box 180, HR-10002, Zagreb, Croatia

Abstract

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 ali off-diagonal entries in the upper triangle of the Z matrix and the corresponding _kZ matrices, respectively, are put forward and studied analytically.

Keywords

Hosoya hyperindex; decomposition of Hosoya Z matrix; new molecular indices

Hrčak ID:

131984

URI

https://hrcak.srce.hr/131984

Publication date:

4.12.2000.

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