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

Amin, Shahid; Aziz Ur Rehman, Muhammad; Aldemir, Mehmet Serif; Cancan, Murat; Farahani, Mohammad Reza

doi:10.22034/ecc.2020.255143.1094

Document Type : Original Research Article

Authors

¹ Department of Mathematics, University of Management and Technology, Lahore, Pakistan

² Faculty of Science, Van Yuzuncu Yıl University, Zeve Campus, Tuşba, 65080, Van, Turkey

³ Faculty of Education, Van Yuzuncu Yıl University, Zeve Campus, Tuşba, 65080, Van, Turkey

⁴ Department of Applied Mathematics, Iran University of Science and Technology (IUST) Narmak, 16844, Tehran, Iran

https://doi.org/10.22034/ecc.2020.255143.1094

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.

Graphical Abstract

Keywords

Main Subjects

Computational Chemistry

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Eurasian Chemical Communications

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

References

References

Volume 2, Issue 12
December 2020
Pages 1156-1163

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

References

References

Volume 2, Issue 12December 2020Pages 1156-1163

Volume 2, Issue 12
December 2020
Pages 1156-1163