Browsing by Author "Imran, Muhammad"

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Computation of Differential and Integral Operators Using M-Polynomials of Gold Crystal
(Cell Press, 2024) Khan, Abdul Rauf; Bhatti, Saad Amin; Imran, Muhammad; Tawfiq, Ferdous M. O.; Cancan, Murat; Hussain, Shahid
Gold is generally considered a noble metal since it is inherently inert in its bulk state. However, gold demonstrates reactivity when it is in its ionic state. The inherent inertness of bulk gold has resulted in its widespread recognition as a vital raw material in various biomedical processes. The applications of these technologies include drug delivery microchips, dental prostheses, reconstructive surgery, culinary additives, and cardiovascular stents. Gold can also exist in molecules or ions, particularly gold ions, which facilitates the production of gold nanomaterials. In this paper, we have computed differential and integral operators by using the M-Polynomial of gold crystals and by utilizing this polynomial, we have also computed eleven topological indices like 1st Zagreb, 2nd Zagreb, Hyper, Sigma, Second Modified, General Randic, General Reciprocal Randic, 3rd Redefined Zagreb, Symmetric Division Degree, Harmonic, Inverse Sum indices for the structure of Gold crystal.
Computing Forgotten Topological Index of Extremal Cactus Chains
(Walter de Gruyter Gmbh, 2021) Cancan, Murat; Imran, Muhammad; Akhter, Shehnaz; Siddiqui, Muhammad Kamran; Hanif, Muhammad Farhan
The F-index is the whole of 3D squares of vertex degrees in a chart G. It as of late turned into the subject of a few investigates because of its extraordinary capability of uses. The point of this paper is to register the F-record of triangular prickly plant chain, square desert flora chains, 6-sided cactus restraints and polyomino restraints. In addition, we decided the extremal chains in the desert plant chains and polyomino fastens as for the F-index.
Molecular Temperature Descriptors as a Novel Approach for Qspr Analysis of Borophene Nanosheets
(Public Library Science, 2024) Khan, Abdul Rauf; Ullah, Zafar; Imran, Muhammad; Malik, Sidra Aziz; Alamoudi, Lamis M.; Cancan, Murat
Borophene nanosheets appear in various sizes and shapes, ranging from simple planar structures to complicated polyhedral formations. Due to their unique chemical, optical, and electrical properties, Borophene nanosheets are theoretically and practically attractive and because of their high thermal conductivity, boron nanosheets are suitable for efficient heat transmission applications. In this paper, temperature indices of borophene nanosheets are computed and these indices are employed in QSPR analysis of attributes like Young's modulus, Shear modulus, and Poisson's ratio of borophene nanosheets and borophene beta 12 sheets. The regression model for the F-Temperature index is discovered to be the best fit for shear modulus, the reciprocal product connectivity temperature index is discovered to be fit for Poisson's ratio and the second hyper temperature index is discovered to be fit for Young's modulus based on the correlation coefficient.
On Novel Harmonic Indices of Certain Nanotubes
(Bioit internationaljournals, 2017) Ediz, Suleyman; Farahani, Mohammad Reza; Imran, Muhammad
Topological indices which are graph invariants derived from molecular graphs of molecules are used in QSPR researches for modeling physicochemical properties of molecules. Topological indices are important tools for determining the underlying topology of a molecule in view of theoretical chemistry. Most of the topological indices are defined by using classical degree concept of graph theory. In this study, we firstly define the new five versions of harmonic indices. And also we compute the fifth harmonic index of H-Naphtalenic nanotube and TUC4[m, n] nanotube.
On Topological Indices of Certain Families of Graphs
(Iop Publishing Ltd, 2025) Imran, Muhammad; Farahani, Muhammad Reza; Cancan, Murat; Alaeiyan, Mehdi; Akguel, Ali
The aim of this paper is to compute topological indices such as general randic index, general sumconnectivity index, atom bond connectivity index, geometric arithmetic index, forgotten index,firstzagreb index, second zagreb index,first multiple zagreb index, second multiple zagreb index and hyperzagreb index of different families of graphs.
The Sharp Bounds of Zagreb Indices on Connected Graphs
(Element, 2021) Chu, Yu-Ming; Shafiq, Muhammad Kashif; Imran, Muhammad; Siddiqui, Muhammad Kamran; Siddiqui, Hafiz Muhammad Afzal; Baby, Shakila; Cancan, Murat
The analysis of a structure is based on its configuration. The common means available for this purpose is the use of graph products. The rooted product is specially revelent for trees. Chemical application of graph theory predicts different properties like physico-chemical properties, thermodynamics properties, chemical activity, biological activity, etc. Certain graph invariants known as topological indices are used for characterization of these properties. These indices have a promising role in chemical sciences and QSAR/QSPR studies. In this paper the lower and upper bounds of Zagreb indices, multiple Zagreb indices and F-index for rooted product of F-sum on connected graphs are determined.
Some Topological Descriptors and Algebraic Polynomials of Pm+fpm
(Sami Publishing Co-spc, 2020) Baig, Abdul Qudair; Amin, Adnan; Farahani, Mohammad Reza; Imran, Muhammad; Cancan, Murat; Aldemir, Mehmet Serif
A topological index of G is a quantity related to G that characterizes its topology. Properties of the chemical compounds and topological invariants are related to each other. In this paper, we derive the algebraic polynomials including first and second Zagreb polynomials, and forgotten polynomial for Pm+FPm. Further, we worked on the hyper-Zagreb, first and second multiple Zagreb indices, and forgotten index of these graphs. Consider the molecular graph with atoms to be taken as vertices and bonds can be shown by edges. For such graphs, we can determine the topological descriptors showing their bioactivity as well as their physiochemical characteristics. Moreover, we derive graphical representation of our outcomes, depicting the technical dependence of topological indices and polynomials on the involved structural parameters.
Topological Study of Carbon Nanotube and Polycyclic Aromatic Nanostar Molecular Structures
(Taylor & Francis Ltd, 2022) Luo Guangyu; Hussain, Sajjad; Khalid, Asma; Ishtiaq, Muhammad; Siddiqui, Muhammad Kamran; Cancan, Murat; Imran, Muhammad
Nanomaterials are chemical compounds or substances which are moderately produced and used. Nanomaterials are engineered to reveal novel properties of nanocells that contrast with related non-visible substances, such as expanded consistency, conductivity or synthetic reaction. Topological indexes are quantities related to molecules that capture the harmony of molecular structures and give scientifically related properties, such as: viscosity, boiling point, radius of gravity, and so on. Their demands in genetics, chemistry, physics and nanoscience are infinite. The molecular topology of such compounds would be clarify by the quantitative structure properties relationship (QSPR) and quantitative structure activity relationship (QSAR). Two carbon nanosheet structures such as TC4C8(s)and dentritic nanostar have been discussed in this article, We have computed topological indices of these structures such as the first and the second K-Banhatti types indices and their variants.