INVESTIGATION ON TOPOLOGICAL INDICES OF LINE GRAPH BASED ON SUBDIVISION APPROACH FOR ABID-WAHEED GRAPH

Mohamad Nazri Husin (Special Interest Group on Modeling and Data Analytics (SIGMDA), Applied Mathematics and Scientific Computing Research Group (AMaSC), Faculty of Computer Science and Mathematics, Universiti Malaysia Terengganu, Malaysia)
Kee Yeong Chua (Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Malaysia)

BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application

In chemical graph theory, there is the study of Quantitative Structure Property Relationships (QSPR) and Quantitative Structure Activity Relationships (QSAR) that uses topological in dices which are numerical measures for the structures of molecular graphs. These topological indices are also able to predict the physico-chemical properties of chemical compounds such as boiling points, enthalpy of vaporization and stability. This paper aims to generalize the Randić index, geometric-arithmetic index, atom-bond connectivity index, first Zagreb index and second Zagreb index for a line graph of Abid-Waheed graph and a line graph of subdivision graph of Abid-Waheed graph. An analysis and comparison of the topological indices studied are also computed and shown. This study successfully generalized and compared several topological indices for Abid-Waheed Graph.