Title :
Atom-bond connectivity index of graph with three edges added
Author :
Mohamad Nazri Husin;Roslan Hasni
Author_Institution :
School of Informatics and Applied Mathematics, University Malaysia Terengganu, 21030 UMT, Kuala Terengganu, Malaysia
Abstract :
The atom-bond connectivity index of a graph G, denoted as ABC(G), is the most important topological indices in chemical graph theory. The ABC index provides a good model for the stability of linear and branched alkanes as well as the strain energy of cycloalkanes. In this note, we prove that the ABC index of a graph increases when three new edges are added.
Keywords :
"Indexes","Chemicals","Informatics","Electronic mail","Graph theory","Mathematical model"
Conference_Titel :
Research and Education in Mathematics (ICREM7), 2015 International Conference on
DOI :
10.1109/ICREM.2015.7357050
