Effect of edge and vertex addition on albertson and bell indices


Delen S., CANGÜL İ. N.

AIMS Mathematics, vol.6, no.1, pp.925-937, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.3934/math.2021055
  • Journal Name: AIMS Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.925-937
  • Keywords: edge addition, vertex addition, irregularity index, Bell index, Albertson index, omega invariant, IRREGULARITY, ENERGY
  • Bursa Uludag University Affiliated: Yes

Abstract

© 2020 the Author(s), licensee AIMS Press.Topological graph indices have been of great interest in the research of several properties of chemical substances as it is possible to obtain these properties only by using mathematical calculations. The irregularity indices are the ones to determine the degree of irregularity of a graph. Albertson and Bell indices are two of them. Edge and vertex deletion and addition are important and useful methods in calculating several properties of a given graph. In this paper, the effects of adding a new edge or a new vertex to a graph on the Albertson and Bell indices are determined.