Extremal graphs on geometric-arithmetic index of tetracyclic chemical graphs

Selvaraj Balachandran, Hanyuan Deng, Suresh Elumalai, Toufik Mansour

Research output: Contribution to journalArticlepeer-review


The main concern of this article is to present the complete classification of tetracyclic (chemical) graphs and establishing some extremal results with respect to the geometric-arithmetic index, defined by (Formula presented.), where dx denotes the degree of a vertex x in G. In addition, we characterize the extremal graphs of the first and second maximum values of geometric-arithmetic index of n-vertex (n ≥ 9) tetracyclic (chemical) graphs.

Original languageEnglish
Article numbere26516
JournalInternational Journal of Quantum Chemistry
Issue number5
StatePublished - 5 Mar 2021

Bibliographical note

Publisher Copyright:
© 2020 Wiley Periodicals LLC


  • chemical graphs
  • geometric-arithmetic index
  • tetracyclic graphs

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry


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