Szeged Indices of Benzenoid Hydrocarbons |
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| Authors: | I. Gutmana G. Dömötör P. C. B. Lam W. C. Shiu L. Popović |
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| Affiliation: | 1. Institute of Physical Chemistry, Attila Jozsef University , P.O. Box 105, H-6701, Szeged, Hungary;2. Faculty of Science , Universtiy of Kragujevac , YU-34000, Kragujevac, Yugoslavia;3. Institute of Physical Chemistry, Attila Jozsef University , P.O. Box 105, H-6701, Szeged, Hungary;4. Department of Mathematics , Hong Kong Baptist University , 224 Waterloo Road, Kowloon, Hong Kong;5. Faculty of Science , Universtiy of Kragujevac , YU-34000, Kragujevac, Yugoslavia |
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| Abstract: | Abstract The Szeged index (Sz) is a recently proposed structure descriptor based on distances between vertices of the molecular graph. Numerous properties of Sz were previously shown to parallel that of the long-known Wiener index (W). We report explicit combinatorial expressions for Sz of a variety of homologous series of benzenoid hydrocarbons. Comparing Sz with W it is found that in extruded benzenoid systems, Sz is linearly proportional to W. In compact benzenoids, however, Sz increases much faster than W, indicating that the two indices reflect different features of the molecular structure. |
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| Keywords: | Szeged index Wiener index Benzenoid hydrocarbons |
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