Results 41 to 50 of about 13,778,255 (132)

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

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

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 Index of L-Type Polyphenyl Spiders [PDF]

, 2016
The polyphenyl system is composed of n hexagons obtained from two adjacent hexagons that are sticked by a path with two vertices. The Hosoya index of a graph G is defined as the total number of the independent edge sets of G.
Wu Tingzeng, Ren Shengzhang
core   +1 more source

Alternating Sums in the Hosoya Polynomial Triangle

, 2014
The Hosoya polynomial triangle is a triangular arrangement of polynomials where each entry is a product of two polynomials. The geometry of this triangle is a good tool to study the algebraic properties of polynomial products.
Mukherjee, Antara, Flórez, Rigoberto, Higuita Díaz, Robinson Alexander   +2 more
core  

The largest n - 1 Hosoya indices of unicyclic graphs

, 2016
The Hosoya index Z(G) of a graph G is defined as the total number of edge independent sets of G. In this paper, we extend the research of [J. Ou, On extremal unicyclic molecular graphs with maximal Hosoya index, Discrete Appl. Math.
Guihai Yu, Aleksandar Ilic, Lihua Feng
core   +1 more source

Coulson function and Hosoya index

, 2002
Let G be a molecular graph, n the number of its vertices and φ(G,x) its characteristic polynomial. Already in 1940 Coulson expressed the total π-electron energy of conjugated unsaturated molecules in terms of the function F(x)=n−ixφ′(G,ix)/φ(G,ix ...
Vidović, Dušica, Furtula, Boris, Gutman, Ivan   +2 more
core   +1 more source