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

  • Publication Type: Article / Article
  • Volume: 2 Issue: 12
  • Publication Date: 2020
  • Doi Number: 10.22034/ecc.2020.255143.1094
  • Journal Name: EURASIAN CHEMICAL COMMUNICATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.1156-1163
  • Keywords: M-polynomial, topological index, Zagreb index, hex board, hexagonal network, line graph, ATOM-BOND CONNECTIVITY, ZAGREB INDEXES, TREES
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

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.