Computation of differential and integral operators using M-polynomials of gold crystal

AR Khan, SA Bhatti, M Imran, FMO Tawfiq, M Cancan… - Heliyon, 2024 - cell.com
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 …

Investigation of reduced reverse degree based polynomials & indices of gold crystals

AR Khan, A Mutlib, FJH Campeña, F Tchier… - Physica …, 2024 - iopscience.iop.org
Gold is widely recognized as a noble metal due to its inherent inertness in its bulk form.
Nevertheless, gold exhibits reactivity in its ionic form. The inert qualities of bulk gold have …

On degree-based operators and topological descriptors of molecular graphs and their applications to QSPR analysis of carbon derivatives

AR Khan, SA Bhatti, F Tawfiq, MK Siddiqui… - Scientific Reports, 2024 - nature.com
This work initiates a concept of reduced reverse degree based RR DM-Polynomial for a
graph, and differential and integral operators by using this RR DM-Polynomial. In this study …

Degree-based topological indices and entropies of diamond crystals

AR Khan, Z Ullah, M Imran, M Salman, A Zia… - Science …, 2024 - journals.sagepub.com
High hardness, low friction coefficient and chemical resistance are only a few of the
exceptional mechanical qualities of diamond. Diamonds can be artificially created to have …

On the computation of temperature indices of silicates, with strong potential to predict the boiling point of hydrocarbons

JZ Xu, Z Hussain, F Tchier, F Tawfiq - Silicon, 2024 - Springer
The molecular graph of a chemical compound can be measured using a topological index,
which helps us to understand its physical and chemical characteristics. Topological indices …

QSPR analysis of drugs used for treatment of hepatitis via reduced reverse degree-based topological descriptors

V Ravi - Physica Scripta, 2024 - iopscience.iop.org
Topological indices refer to numerical values that are structure-invariant and are used to
quantify the bonding topology of a molecular graph. The primary objective of studying …

Bicubic regression analysis a novel approach for estimation of physicochemical properties of skin cancer drugs through degree based entropy

KH Hakami, AR Khan, I Zia - Heliyon, 2024 - cell.com
Skin cancer poses a significant risk to the healthcare system worldwide and is projected to
increase substantially over the next two decades, particularly if not detected in its early …

Mathematical modeling and QSPR analysis of hepatitis treatment drugs through connection indices an innovative approach

KH Hakami, AR Khan, M Ali - Heliyon, 2025 - cell.com
Chemical structures may be defined based on their topology, which allows for the
organization of molecules and the representation of new structures with specific properties …

Computation of Differential, Integral Operators and Quantitative Structure–Property Analysis of Boron α‐Icosahedral Nanosheet

KH Hakami, AR Khan, SA Bhatti - Journal of Mathematics, 2025 - Wiley Online Library
In its crystalline state, the α‐icosahedral nanosheet of boron demonstrates superconductivity
and thermal electronic properties. Mathematical research on a graph's structure yields a …