Revan Sombor indices: Analytical and statistical study Articles uri icon

publication date

  • January 2023

start page

  • 1801

end page

  • 1819

issue

  • 2

volume

  • 20

International Standard Serial Number (ISSN)

  • 1547-1063

Electronic International Standard Serial Number (EISSN)

  • 1551-0018

abstract

  • We concentrate on Revan indices of the Sombor family, i.e., the Revan Sombor index and the first and second Revan (a,b)-K A indices. First, we present new relations to provide bounds on Revan Sombor indices which also relate them with other Revan indices (such as the Revan versions of the first and second Zagreb indices) and with standard degree-based indices (such as the Sombor index, the first and second (a,b)-K A indices, the first Zagreb index and the Harmonic index). Then, we extend some relations to index average values, so they can be effectively used for the statistical study of ensembles of random graphs.

subjects

  • Mathematics

keywords

  • revan sombor index; modified sombor index; (a,b)-k a indices; degree-based topological indices, random graph