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A new geometric–arithmetic index

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Abstract

A new molecular-structure descriptor GA 2, belonging to the class of geometric–arithmetic indices, is considered. It is closely related to the Szeged and vertex PI indices. The main properties of GA 2 are established, including lower and upper bounds. The trees with minimum and maximum GA 2 are characterized.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Kashan, 87317-51167, Kashan, Islamic Republic of Iran

    Gholamhossein Fath-Tabar

  2. Faculty of Science, University of Kragujevac, P. O. Box 60, 34000, Kragujevac, Serbia

    Boris Furtula & Ivan Gutman

Authors
  1. Gholamhossein Fath-Tabar
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  2. Boris Furtula
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  3. Ivan Gutman
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Correspondence to Ivan Gutman.

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Fath-Tabar, G., Furtula, B. & Gutman, I. A new geometric–arithmetic index. J Math Chem 47, 477–486 (2010). https://doi.org/10.1007/s10910-009-9584-7

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  • DOI: https://doi.org/10.1007/s10910-009-9584-7

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