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Research Article

The Wiener Index and the Szeged Index of Benzenoid Systems in Linear Time

Victor Chepoi*

Laboratoire de Biomathmatiques, Facult de Medecine, Universit d'Aix Marseille II, 27 Bd Jean Moulin, F-13385 Marseille Cedex 5, France

Sandi Klavžar

Department of Mathematics, PEF, University of Maribor, Koroka cesta 160, 2000 Maribor, Slovenia

J. Chem. Inf. Comput. Sci., 1997, 37 (4), pp 752–755

DOI: 10.1021/ci9700079

Publication Date (Web): July 28, 1997

In papers with more than one author, the asterisk indicates the name of the author to whom inquiries about the paper should be addressed.

Abstract

A linear time algorithm is presented which, for a given benzenoid system G, computes the Wiener index of G. The algorithm is based on an isometric embedding of G into the Cartesian product of three trees, combined with the notion of the Wiener index of vertex-weighted graphs. An analogous approach yields also a linear algorithm for computing the Szeged index of benzenoid systems.

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