Results 61 to 70 of about 268,469 (172)

M‐Polynomial and NM‐Polynomial Methods for Topological Indices of Polymers

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
Topological indices (TIs) are numerical tools widely applied in chemometrics, biomedicine, and bioinformatics for predicting diverse physicochemical attributes and biological activities within molecular structures. Despite their significance, the challenges in deriving TIs necessitate novel approaches.
Mohammed Yasin H, M. Suresh, Zebene G. Tefera, Samuel A. Fufa, Anwar Saleh Alwardi   +4 more
wiley   +1 more source

An Algebraic Approach of Topological Indices Connected with Finite Quasigroups

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
In mathematical chemistry, the algebraic polynomial serves as essential for calculating the most accurate expressions of distance‐based, degree‐distance‐based, and degree‐based topological indices. The chemical reactivity of molecules, which includes their tendency to engage in particular chemical processes or go through particular reactions, can be ...
Muhammad Nadeem, Md. Ashraful Alam, Nwazish Ali, M. I. Elashiry, Ozgur Ege   +4 more
wiley   +1 more source

The Causal Effects of Nuclear Fusion Reactors, Human Development, and Economic Growth on Nuclear Energy Consumption in the United States

International Journal of Energy Research, Volume 2024, Issue 1, 2024.
The study is aimed at investigating the effects of nuclear fusion reactors, human development, and economic growth on nuclear energy consumption in the United States from 1990 to 2019 using time and frequency causality analyses. The time domain causality analysis examined the relationship between variables over time using a single test statistic, while
Mucahit Aydin, Mehmet Aydin, Koteswara Raju Dhenuvakonda   +2 more
wiley   +1 more source

Numerical solution of nonlinear Hunter-Saxton equation, Benjamin-Bona Mahony equation, and Klein-Gordon equation using Hosoya polynomial method

Results in Control and Optimization
Models of nonlinear partial differential equations are essential in the theoretical sciences, especially Physics and Mathematics. It is exceedingly challenging to arrive at an analytical solution.
AN Nirmala, S. Kumbinarasaiah
doaj   +1 more source

Graphs Connected to Isotopes of Inverse Property Quasigroups: A Few Applications

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
Many real‐world applications can be modelled as graphs or networks, including social networks and biological networks. The theory of algebraic combinatorics provides tools to analyze the functioning of these networks, and it also contributes to the understanding of complex systems and their dynamics.
Muhammad Nadeem, Sharafat Ali, Md. Ashraful Alam, Qing-Wen Wang   +3 more
wiley   +1 more source

Estimation of Joint Parameters Using Frequency‐Based Substructuring Techniques

International Journal of Distributed Sensor Networks, Volume 2024, Issue 1, 2024.
This study presents frequency‐based substructuring (FBS) techniques and an identification method for predicting joint parameters. Two FBS techniques, FBS‐1 and FBS‐2, were derived by assuming pseudomasses at the joint nodes between adjacent substructures.
Hye-Sook Jang, Jae-Hyoung An, Hee-Chang Eun, Yuedong Xie   +3 more
wiley   +1 more source

Enhanced Chemical Insights into Fullerene Structures via Modified Polynomials

Complexity, Volume 2024, Issue 1, 2024.
This work explores the complicated realm of fullerene structures by utilizing an innovative algebraic lens to unravel their chemical intricacies. We reveal a more profound comprehension of the structural subtleties of fullerenes by the computation of modified polynomials that are customized to their distinct geometric and electrical characteristics. In
Ali N. A. Koam, Ali Ahmad, Raed Qahiti, Muhammad Azeem, Waleed Hamali, Shonak Bansal   +5 more
wiley   +1 more source

Extremal Matching Energy of Complements of Trees

Discussiones Mathematicae Graph Theory, 2016
Gutman and Wagner proposed the concept of the matching energy which is defined as the sum of the absolute values of the zeros of the matching polynomial of a graph.
Wu Tingzeng, Yan Weigen, Zhang Heping
doaj   +1 more source

Exploring the Distance‐Based Topological Indices for Total Graphs via Numerical Comparison

Journal of Mathematics, Volume 2024, Issue 1, 2024.
Graph theory serves as a valuable tool across numerous scientific disciplines, offering the means to model and analyze intricate networks. In this study, we explore the application of distance‐based topological indices to a variety of graphs, including the total graph of paths, cycles, complete graphs, wheel graphs, helm graphs, and the Cartesian ...
Haseeb Ahmad, Muhammad Kamran Siddiqui, Muhammad Farhan Hanif, Brima Gegbe, Huadong Su   +4 more
wiley   +1 more source

Hosoya-Diudea polynomial in hyper structures

Acta Chemica Iasi, 2013
Abstract Hosoya polynomial counts finite sequences of distances in a graph G; more exactly, it counts the number of points/atoms lying at a given distance in G. The polynomial coefficients are calculable by means of layer/shell matrices. Shell matrix operator enables the transformation of any square matrix in the corresponding layer/shell matrix ...
M. P. Vlad, M. V. Diudea
openaire   +1 more source