Relations between some topological indices and the line graph Articles uri icon

publication date

  • December 2019

start page

  • 632

end page

  • 646

issue

  • 3

volume

  • 58

International Standard Serial Number (ISSN)

  • 0259-9791

Electronic International Standard Serial Number (EISSN)

  • 1572-8897

abstract

  • The concepts of geometric&-arithmetic and harmonic indices were introduced in the area of chemical graph theory recently. They have proven to correlate well with physical and chemical properties of some molecules. The aim of this paper is to obtain new inequalities involving the first Zagreb, the harmonic, and the geometric&-arithmetic GA1 indices. Furthermore, inequalities relating these indices and line graphs are proven.

keywords

  • first zagreb index; geometric┬┐rithmetic index; harmonic index; line graph; vertex┬┐egree-based topological index