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Journal of Mathematical Chemistry

, Volume 48, Issue 2, pp 370–380 | Cite as

Augmented Zagreb index

  • Boris Furtula
  • Ante Graovac
  • Damir VukičevićEmail author
Original Paper

Abstract

Inspired by recent work on the atom-bond connectivity (ABC) index we propose here a new topological index, augmented Zagreb index (AZI). The tight upper and lower bounds for chemical trees are obtained. Moreover, it has been shown that among all trees the star has the minimum AZI value. Characterizing trees with maximal augmented Zagreb index remains an open problem for future research.

Keywords

Molecular descriptor Extremal graph Atom-bond connectivity index Augmented Zagreb index 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Boris Furtula
    • 1
  • Ante Graovac
    • 2
    • 3
    • 4
  • Damir Vukičević
    • 3
    Email author
  1. 1.Faculty of ScienceKragujevacSerbia
  2. 2.The R. Bošković InstituteZagrebCroatia
  3. 3.Faculty of Natural Sciences and MathematicsUniversity of SplitSplitCroatia
  4. 4.IMC, University of DubrovnikDubrovnikCroatia

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