M-polynomial and degree-based topological indices and line graph of hex board graph

Amin S., Rehman M. A. U. , Aldemir M. Ş. , Cancan M., Farahani M. R.

EURASIAN CHEMICAL COMMUNICATIONS, vol.2, no.12, pp.1156-1163, 2020 (ESCI) identifier identifier


A topological index (TI) is a positive real number associated with the graph of molecule and remains invariant up to graph isomorphism. Until now, several TIs are defined and there are mainly three types: Degree depending, distance depending and spectrum depending. All these TIs found huge applications in pharmacy, theoretical chemistry and especially in QSPR/QSAR research. The aim of our study was to compute degree depending TIs for Hex board graph and its line graph. We firstly computed M-polynomial and by applying calculus, we computed several degree-based topological indices of Hex board graph and its line graph.