Atom-bond connectivity index of graph with two edges added

Authors

  • Mohamad Nazri Husin School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, 21030 UMT Kuala Nerus, Terengganu, Malaysia
  • Roslan Hasni School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, 21030 UMT Kuala Nerus, Terengganu, Malaysia

DOI:

https://doi.org/10.11113/matematika.v32.n2.928

Abstract

The atom-bond connectivity index of a graph G, denoted as ABC(G), is defined as the sum of the weight 

sqrt((du+dv-2)/dudv)

of all edges uv of G, where du (or dv) denotes the degree of vertex u (or v) in G. The ABC index provides a good model for the stability of linear and branches alkanes as well as the strain energy of cycloalkanes. In this note, we prove that ABC index of a graph increases when two new edges are added.

Downloads

Published

2017-04-27

How to Cite

Husin, M. N., & Hasni, R. (2017). Atom-bond connectivity index of graph with two edges added. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 32(2), 81–86. https://doi.org/10.11113/matematika.v32.n2.928

Issue

Section

Articles