On the Geometric-Arithmetic Index Articles uri icon

publication date

  • July 2015

start page

  • 103

end page

  • 120


  • 1


  • 74

International Standard Serial Number (ISSN)

  • 0340-6253


  • 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 GA1 and characterize graphs extremal with respect to them. In particular, we improve some known inequalities and we relate GA1 to other well known topological indices.


  • geometric arithmetic index; inequalities; graph invariant