Some new degree based topological indices via M-polynomial

Afzal, Farkhanda; Hussain, Sabir; Afzal, Deeba; Razaq, Sidra

doi:10.1080/02522667.2020.1744307

Cited by 29 publications

(8 citation statements)

References 36 publications

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“…􏼉 Numerous graphs have been studied in the past through Mpolynomial and topological indices [22][23][24]. Some operators, which are used further, are defined as Shin et al [25] presented the closed form of topological indices via M-polynomial, but they are not provided the relationship between them.…”

Section: Introductionmentioning

confidence: 99%

The Study about Relationship of Direct Form of Topological Indices via M-Polynomial and Computational Analysis of Dexamethasone

Hussain

Afzal

et al. 2022

Journal of Chemistry

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Nowadays, all scientists are in the race to find a cure for COVID-19. This is a viral disease that is due to severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Different antiviral drugs are under investigation. Dexamethasone is being used for the treatment of COVID-19. In this article, the chemical structure of dexamethasone is explored using computational techniques such as topological indices. Proofs of a few closed formulas that describe the degree-dependent topological indices calculated from the M-polynomial of the graphs are also given in this article.

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Section: Introductionmentioning

confidence: 99%

The Study about Relationship of Direct Form of Topological Indices via M-Polynomial and Computational Analysis of Dexamethasone

Hussain

Afzal

et al. 2022

Journal of Chemistry

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“…Within the factors of degreebased topological indices, we compete necessary role of M-polynomial. Readers can refer to [9][10][11][12][13][14][15][16][17][27][28][29][30][31][32][33][34][35]. It is the foremost general progressive polynomial and an additionally closed formula alongside 10 distance-based topological indices is given by M-polynomial.…”

Section: Application Backgroundmentioning

confidence: 99%

M-Polynomials and Degree-Based Topological Indices of the Molecule Copper(I) Oxide

Chaudhry

Shoukat

Afzal

et al. 2021

Journal of Chemistry

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Topological indices are numerical parameters used to study the physical and chemical residences of compounds. Degree-based topological indices have been studied extensively and can be correlated with many properties of the understudy compounds. In the factors of degree-based topological indices, M-polynomial played an important role. In this paper, we derived closed formulas for some well-known degree-based topological indices like first and second Zagreb indices, the modified Zagreb index, the symmetric division index, the harmonic index, the Randić index and inverse Randić index, and the augmented Zagreb index using calculus.

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“…Some indices are calculated by Munir et al ( 2016 ). In the past, Kang et al ( 2018 ), Afzal et al ( 2020a , b ), Cancan et al ( 2020a , b ), and Khalaf et al ( 2020 ) used these formulas to compute topological indices via M-polynomial and a lot of work has been done in this area. One more set of nine topological indices has been computed by Afzal et al ( 2020c ).…”

Section: M-polynomialmentioning

confidence: 99%

“…2020) used these formulas to compute topological indices via Mpolynomial and a lot of work has been done in this area. One more set of nine topological indices has been computed by Afzal et al (2020c). The F-index is also computed by Mondal et al (2020).…”

Section: M-polynomialmentioning

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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Some new degree based topological indices via M-polynomial

Cited by 29 publications

References 36 publications

The Study about Relationship of Direct Form of Topological Indices via M-Polynomial and Computational Analysis of Dexamethasone

The Study about Relationship of Direct Form of Topological Indices via M-Polynomial and Computational Analysis of Dexamethasone

M-Polynomials and Degree-Based Topological Indices of the Molecule Copper(I) Oxide

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

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