Some Computational Aspects of Triangular Boron Nanotubes

Abstract

Recent discovery of triangular boron Nanotubes makes it a competitor of carbon in many respects. Closed forms of M-polynomial of nanotubes produce closed forms of many degree-based topological indices which are numerical parameters of the structure and, in combination, determine properties of the concerned nanotubes. In this report, we give M-polynomials of triangular boron nanotubes and recover many important topological degree-based indices of these nanotubes. We also plot surfaces associated to these nanotubes.

M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems

“…A similar breakthrough was obtained recently by Deutsch and Klavžar [7], in the context of degree-based indices. Deutsch and Klavžar [7] introduced Mpolynomial in, 2015, to play a role, parallel to Hosoya polynomial to determine closed form of many degree-based topological indices [8][9][10][11]. e real power of M-polynomial is its comprehensive nature containing healthy information about degree-based graph invariants.…”

The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge Weights

“…The fourth member of the ABC index category was proposed by M. Ghorbani et al in [9]. In recent years, many papers are written on topological indices and its application; here we mention few [10][11][12][13][14][15]. Based on the groundbreaking work of Shannon [16], in the late 1950s began to study the entropy measurement of network systems.…”

“…Let = ( , , ) be any complete graph of order . Then we have For any complete graph G of order we have[14], ( ) ≤ √( − 2)/2; therefore the result Let = ( , , ) be any tree of order . Then we have…”

Some Invariants of Circulant Graphs

“…Active research is in progress, and many authors computed M-polynomials for different types of nonmaterial, for example see [12][13][14][15][16] and the references therein.…”