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Chemistry in Industry : Journal of Chemists and Chemical Engineers of Croatia, Vol. 59 No. 12, 2010.

Review article

About the Zagreb Indices

N. Trinajstić ; The Rugjer Bošković Institute, Zagreb, Croatia
S. Nikolić ; The Rugjer Bošković Institute, Zagreb, Croatia
A. Miličević ; Institute for Medical Research and Occupational Health, Zagreb, Croatia
I. Gutman ; Faculty of Science Kragujevac, Serbia

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Abstract

The original Zagreb indices and some of their variants, such as the modified Zagreb indices, variable Zagreb indices, reformulated original Zagreb indices, reformulated modified Zagreb indices, Zagreb indices as complexity indices, general Zagreb indices, Zagreb indices for heterocyclic systems, Zagreb co-indices, are outlined. Some interesting properties of the Zagreb indices, depending on the structure of molecular (chemical) graphs, are mentioned. Zagreb indices of line graphs and their connection with certain walks on graphs are discussed. The relationships between the Zagreb indices and some of the earliest molecular descriptors such as the Platt index (introduced in 1947) and Gordon-Scantlebury index (introduced in 1964) are presented. So-called Zagreb co-indices are briefly mentioned. Analytical formulas for computing Zagreb indices of several homologous structures are also given.

Keywords

The original Zagreb indices; modified Zagreb indices; variable Zagreb indices; chemical graph theory

Hrčak ID:

61730

URI

https://hrcak.srce.hr/61730

Publication date:

3.12.2010.

Article data in other languages: croatian

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