On topological properties of boron triangular sheet BTS(m,n), borophene chain B_36 (n) and melem chain MC(n) nanostructures

Document Type : Full Length Article

Authors

1 Government College University Faisalabad Pakistan

2 COMSATS Institute of Information Technology Attock Pakistan

3 Government College University, Faisalabad-Pakistan

Abstract

Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant. In QSAR/QSPR study, physico-chemical properties and topological indices such as Randic, atom-bond connectivity (ABC) and geometric-arithmetic (GA) index are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research.
In this paper, we study and derive analytical closed results of general Randic index R_α (G) for Boron triangular sheet BTS(m,n), Borophene chain of B_36 (n) and Melem chain MC(n). We also compute the general first Zagreb, ABC, GA, ABC 4 and GA 5 indices for sheet and chains for the first time and give closed formulas of these degree based indices.

Graphical Abstract

On topological properties of boron triangular sheet BTS(m,n), borophene chain B_36 (n) and melem chain MC(n) nanostructures

Keywords

Journal of Discrete Mathematics and Its Applications
Volume 7, Issue 1
January 2022
Pages 39-61

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History

  • Receive Date: 01 February 2022
  • Revise Date: 06 February 2022
  • Accept Date: 23 February 2022
  • First Publish Date: 10 March 2022
  • Publish Date: 10 March 2022

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