Sigma index and forgotten index of the subdivision and r-subdivision graphs


AŞCIOĞLU M. , CANGÜL İ. N.

Proceedings of the Jangjeon Mathematical Society, vol.21, no.3, pp.375-383, 2018 (Refereed Journals of Other Institutions) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.17777/pjms2018.21.3.375
  • Title of Journal : Proceedings of the Jangjeon Mathematical Society
  • Page Numbers: pp.375-383
  • Keywords: Forgotten index, R-subdivision graph, Sigma index, Subdivision graph

Abstract

© 2018 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.Topological graph indices are defined and used by mathematicians and chemists to obtain some chemical properties of a molecule under consideration by calculating the related topological index obtained from the graph modelling the molecule. This saves one from a lot of laboratory work and its labor and cost. In this paper, we concentrate on two of these topological graph indices, namely the sigma index and the forgotten index of a graph. We calculate these two indices for the subdivision and r-subdivision graphs and give examples for some well-known graph classes.