CMMSE 18: geometric-arithmetic index and line graph Articles uri icon

authors

  • PESTANA GALVAN, DOMINGO DE GUZMAN
  • SIGARRETA ALMIRA, JOSE MARIA
  • TOURIS LOJO, EVA

publication date

  • January 2019

start page

  • 1427

end page

  • 1447

issue

  • 5

volume

  • 57

International Standard Serial Number (ISSN)

  • 0259-9791

Electronic International Standard Serial Number (EISSN)

  • 1572-8897

abstract

  • 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. Besides, we prove inequalities involving the geometric-arithmetic index of line graphs.

keywords

  • geometric-arithmetic index; harmonic index; vertex-degree-based topological index; line graph