CMMSE 18: geometric-arithmetic index and line graph

  • Domingo Pestana
  • José M. Sigarreta
  • Eva Tourís
Original Paper


The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. The aim of this paper is to obtain new inequalities involving the geometric-arithmetic index \(GA_1\) and characterize graphs extremal with respect to them. Besides, we prove inequalities involving the geometric-arithmetic index of line graphs.


Geometric-arithmetic index Harmonic index Vertex-degree-based topological index Line graph 

Mathematics Subject Classification

MSC 05C07 MSC 92E10 



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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Departamento de MatemáticasUniversidad Carlos III de MadridLeganésSpain
  2. 2.Facultad de Matemáticas, Universidad Autónoma de GuerreroAcapulcoMexico
  3. 3.Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de MadridMadridSpain

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