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  1. Article ; Online: The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function

    Amina Riaz / Mohsan Raza / Muhammad Ahsan Binyamin / Afis Saliu

    Heliyon, Vol 9, Iss 1, Pp e12748- (2023)

    2023  

    Abstract: In this paper, we give sharp bounds of the Hankel determinant H2(3)(f) for the coefficients of functions in the class of starlike functions related to a domain that is like three leaves. We also give sharp bounds for the Hankel determinants H3(1)(f) and ... ...

    Abstract In this paper, we give sharp bounds of the Hankel determinant H2(3)(f) for the coefficients of functions in the class of starlike functions related to a domain that is like three leaves. We also give sharp bounds for the Hankel determinants H3(1)(f) and H2(3)(f) for the coefficients of functions in the class of convex functions related to the three-leaf-like domain.
    Keywords Univalent function ; Starlike function ; Convex function ; Three-leaf function ; Hankel determinants ; Science (General) ; Q1-390 ; Social sciences (General) ; H1-99
    Language English
    Publishing date 2023-01-01T00:00:00Z
    Publisher Elsevier
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  2. Article ; Online: Valency-Based Topological Properties of Linear Hexagonal Chain and Hammer-Like Benzenoid

    Yi-Xia Li / Abdul Rauf / Muhammad Naeem / Muhammad Ahsan Binyamin / Adnan Aslam

    Complexity, Vol

    2021  Volume 2021

    Abstract: Topological indices are quantitative measurements that describe a molecule’s topology and are quantified from the molecule’s graphical representation. The significance of topological indices is linked to their use in QSPR/QSAR modelling as descriptors. ... ...

    Abstract Topological indices are quantitative measurements that describe a molecule’s topology and are quantified from the molecule’s graphical representation. The significance of topological indices is linked to their use in QSPR/QSAR modelling as descriptors. Mathematical associations between a particular molecular or biological activity and one or several biochemical and/or molecular structural features are QSPRs (quantitative structure-property relationships) and QSARs (quantitative structure-activity relationships). In this paper, we give explicit expressions of two recently defined novel ev-degree- and ve-degree-based topological indices of two classes of benzenoid, namely, linear hexagonal chain and hammer-like benzenoid.
    Keywords Electronic computers. Computer science ; QA75.5-76.95
    Language English
    Publishing date 2021-01-01T00:00:00Z
    Publisher Hindawi-Wiley
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  3. Article ; Online: Statistics and Calculation of Entropy of Dominating David Derived Networks

    Xuemei Zhao / Haidar Ali / Bilal Ali / Muhammad Ahsan Binyamin / Jia-Bao Liu / Ali Raza

    Complexity, Vol

    2021  Volume 2021

    Abstract: A graph’s entropy is a functional one, based on both the graph itself and the distribution of probability on its vertex set. In the theory of information, graph entropy has its origins. Dominating David derived networks have a variety of important ... ...

    Abstract A graph’s entropy is a functional one, based on both the graph itself and the distribution of probability on its vertex set. In the theory of information, graph entropy has its origins. Dominating David derived networks have a variety of important applications in medication store, hardware, and system administration. In this study, we discuss dominating David derived network of type 1, 2, and 3 written as D1n, D2n, and D3n, respectively of order n. We also compute some degree-based entropies such as Randić, ABC, and GA entropy of D1n, D2n, and D3n.
    Keywords Electronic computers. Computer science ; QA75.5-76.95
    Language English
    Publishing date 2021-01-01T00:00:00Z
    Publisher Hindawi-Wiley
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  4. Article ; Online: Topological aspects of 2D structures of trans-Pd(NH2)S lattice and a metal-organic superlattice

    Mehran Azeem / Adnan Aslam / Zahid Iqbal / Muhammad Ahsan Binyamin / Wei Gao

    Arabian Journal of Chemistry, Vol 14, Iss 3, Pp 102963- (2021)

    2021  

    Abstract: In quantitative structure property (QSPR) and quantitative structure activity (QSAR) relationships studies, topological indices are utilized to associate the biological activity of underline structures with their physical properties like strain energy, ... ...

    Abstract In quantitative structure property (QSPR) and quantitative structure activity (QSAR) relationships studies, topological indices are utilized to associate the biological activity of underline structures with their physical properties like strain energy, distortion, melting point, boiling point, and stability, etc. In these studies, the degree based topological indices have obtained center position between various kind of descriptors, due to the simplicity of finding and the rapidity with which these estimations can be accomplished. In this paper, we compute the general Randic, first and second Zagreb, Atom Bond Connectivity(ABC) and Geometric Arithmetic(GA) indices of the 2D structures of trans-Pd-(NH2)S lattice and a metal–organic superlattice. Furthermore, we present the precise formulas of the fifth version of Geometric Arithmetic index and the fourth version of Atom-Bond Connectivity index of these lattices.
    Keywords Trans-Pd-(NH2)S lattice ; Metal-organic superlattice ; Degree-based topological descriptors ; Chemistry ; QD1-999
    Subject code 540
    Language English
    Publishing date 2021-03-01T00:00:00Z
    Publisher Elsevier
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  5. Article ; Online: On Computation of Entropy of Hex-Derived Network

    Pingping Song / Haidar Ali / Muhammad Ahsan Binyamin / Bilal Ali / Jia-Bao Liu

    Complexity, Vol

    2021  Volume 2021

    Abstract: A graph’s entropy is a functional one, based on both the graph itself and the distribution of probability on its vertex set. In the theory of information, graph entropy has its origins. Hex-derived networks have a variety of important applications in ... ...

    Abstract A graph’s entropy is a functional one, based on both the graph itself and the distribution of probability on its vertex set. In the theory of information, graph entropy has its origins. Hex-derived networks have a variety of important applications in medication store, hardware, and system administration. In this article, we discuss hex-derived network of type 1 and 2, written as HDN 1n and HDN 2n, respectively of order n. We also compute some degree-based entropies such as Randić, ABC, and GA entropy of HDN 1n and HDN 2n.
    Keywords Electronic computers. Computer science ; QA75.5-76.95
    Language English
    Publishing date 2021-01-01T00:00:00Z
    Publisher Hindawi-Wiley
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

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    Inter-library loan at ZB MED

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  6. Article ; Online: On the First Three Extremum Values of Variable Sum Exdeg Index of Trees

    Shu-Bo Chen / Syed Sheraz Asghar / Muhammad Ahsan Binyamin / Zahid Iqbal / Tayyeb Mahmood / Adnan Aslam

    Complexity, Vol

    2021  Volume 2021

    Abstract: For a graph G, its variable sum exdeg index is defined as SEIaG=∑xy∈EGadx+ady, where a is a real number other than 1 and dx is the degree of a vertex x. In this paper, we characterize all trees on n vertices with first three maximum and first three ... ...

    Abstract For a graph G, its variable sum exdeg index is defined as SEIaG=∑xy∈EGadx+ady, where a is a real number other than 1 and dx is the degree of a vertex x. In this paper, we characterize all trees on n vertices with first three maximum and first three minimum values of the SEIa index. Also, we determine all the trees of order n with given diameter d and having first three largest values of the SEIa index.
    Keywords Electronic computers. Computer science ; QA75.5-76.95
    Language English
    Publishing date 2021-01-01T00:00:00Z
    Publisher Hindawi-Wiley
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

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    Inter-library loan at ZB MED

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  7. Article ; Online: An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular

    Yanan Liu / Muhammad Ahsan Binyamin / Adnan Aslam / Minahal Arshad / Chengmei Fan / Hassan Mahmood / Jia-Bao Liu

    Complexity, Vol

    2021  Volume 2021

    Abstract: A complete classification of simple function germs with respect to Lipschitz equivalence over the field of complex numbers ℂ was given by Nguyen et al. The aim of this article is to implement a classifier in terms of easy computable invariants to compute ...

    Abstract A complete classification of simple function germs with respect to Lipschitz equivalence over the field of complex numbers ℂ was given by Nguyen et al. The aim of this article is to implement a classifier in terms of easy computable invariants to compute the type of the Lipschitz simple function germs without computing the normal form in the computer algebra system Singular.
    Keywords Electronic computers. Computer science ; QA75.5-76.95
    Language English
    Publishing date 2021-01-01T00:00:00Z
    Publisher Hindawi-Wiley
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

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    Inter-library loan at ZB MED

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  8. Article ; Online: On Topological Descriptors of Certain Metal-Organic Frameworks

    Peng Xu / Mehran Azeem / Muhammad Mubashir Izhar / Syed Mazhar Shah / Muhammad Ahsan Binyamin / Adnan Aslam

    Journal of Chemistry, Vol

    2020  Volume 2020

    Abstract: Topological indices are numerical numbers that represent the topology of a molecule and are calculated from the graphical depiction of the molecule. The importance of topological indices is due to their use as descriptors in QSPR/QSAR modeling. QSPRs ( ... ...

    Abstract Topological indices are numerical numbers that represent the topology of a molecule and are calculated from the graphical depiction of the molecule. The importance of topological indices is due to their use as descriptors in QSPR/QSAR modeling. QSPRs (quantitative structure-property relationships) and QSARs (quantitative structure-activity relationships) are mathematical correlations between a specified molecular property or biological activity and one or more physicochemical and/or molecular structural properties. In this paper, we give explicit expressions of some degree-based topological indices of two classes of metal-organic frameworks (MOFs), namely, butylated hydroxytoluene- (BHT-) based metal-organic (M=Co, Fe, Mn, Cr) (MBHT) frameworks and M1TPyP−M2 (TPyP = 5,10,15,20-tetrakis(4-pyridyl)porphyrin and M1,M2 = Fe and Co) MOFs.
    Keywords Chemistry ; QD1-999
    Language English
    Publishing date 2020-01-01T00:00:00Z
    Publisher Hindawi Limited
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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