Topological Aspects of Boron Nanotubes

Liu, Jia‐Bao; Shaker, Hani; Nadeem, Imran; Hussain, Muhammad Tahir

doi:10.1155/2018/5729291

Cited by 18 publications

(10 citation statements)

References 23 publications

(25 reference statements)

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“…By using the chemical graph theory technique, nanostructures are transformed into a mathematical model and then inspected under numerous parameters. Due to attractive features such as work function, transport property, electronic structure, and structural stability, boron α-nanotubes have gained an important place in modern times [18,19].…”

Section: Chemical Graph Of Boron α-Nanotubementioning

confidence: 99%

Investigation on Boron Alpha Nanotube by Studying Their M‐Polynomial and Topological Indices

Afzal

Hussain

et al. 2022

Journal of Mathematics

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Graph theory provides an effective tool such as graph polynomial and topological indices (TIs) to the chemist to analyze the different chemical structures. TIs are the numerical entity deducted from the molecular structure. TI helps to study the relationship between the physicochemical properties and structure of the chemical compound. In this article, we investigate the boron α -nanotube by computing its M-polynomial and then deducing its TI. Results are also shown by plotting the graphs.

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Section: Chemical Graph Of Boron α-Nanotubementioning

confidence: 99%

Investigation on Boron Alpha Nanotube by Studying Their M‐Polynomial and Topological Indices

Afzal

Hussain

et al. 2022

Journal of Mathematics

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“…Nanomaterials have many applications in different fields of nanoscience. The boron triangular nanotube BTnt lq is a well-known structure in nanomaterials with a wide range of applications in medicine, electronics, and computers as discussed by Menuel ( 2010 ), Bezugly et al ( 2011 ), and Liu et al ( 2018 ). With the help of this, experts are expected to revolutionize the world.…”

Section: Boron Triangular Nanotubementioning

confidence: 99%

Closed Formulas for Some New Degree Based Topological Descriptors Using M-polynomial and Boron Triangular Nanotube

Shin

Hussain

Afzal³

et al. 2021

Front. Chem.

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In this article, we provide new formulas to compute the reduced reciprocal randić index, Arithmetic geometric1 index, SK index, SK1 index, SK2 index, edge version of the first zagreb index, sum connectivity index, general sum connectivity index, and the forgotten index using the M-polynomial and finding these topological indices for a boron triangular nanotube. We also elaborate the results with graphical representations.

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“…Considering the underlying graphs of boron nanotubes, Manual studied their certain computational properties. Liu et al studied various topological properties of these nanotubes. Hayat and Siddiqui studied the frustration indices of certain boron and carbon nanotubes.…”

Section: Energy and Estrada Index Of Boron Triangular Nanotubesmentioning

confidence: 99%

Correlation between the Estrada index and π‐electronic energies for benzenoid hydrocarbons with applications to boron nanotubes

Hayat

Imran

Liu

2019

Int J of Quantum Chemistry

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In this article, we present an efficient computer-based computational technique to compute the energy and Estrada index of graphs. It is shown that our computational method is more efficient and bears less computational and algorithmic complexity. We use our method to show the main result of this article, which asserts that the Estrada index correlates with the π-electronic energies of lower benzenoid hydrocarbons with correlation coefficient 0.9993. This enhances the practical applicability of the Estrada index and warrants its further usage in quantitative structure activity relationships. We further apply our computational technique in computing the energy and Estrada index of two infinite families of boron triangular nanotubes. We perform simulation based on certain computer software packages to study the graph-theoretic behavior of the obtained results. Our results help to correlate certain physicochemical properties of underlying chemical structures of these nanotubes. K E Y W O R D Sπ-electronic energy, benzenoid hydrocarbons, boron nanotubes, energy, Estrada index

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Topological Aspects of Boron Nanotubes

Cited by 18 publications

References 23 publications

Investigation on Boron Alpha Nanotube by Studying Their M‐Polynomial and Topological Indices

Investigation on Boron Alpha Nanotube by Studying Their M‐Polynomial and Topological Indices

Closed Formulas for Some New Degree Based Topological Descriptors Using M-polynomial and Boron Triangular Nanotube

Correlation between the Estrada index and π‐electronic energies for benzenoid hydrocarbons with applications to boron nanotubes

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