Results 11 to 20 of about 136 (119)

Leveraging Nonassociative Algebra for Spectral Analysis of Anomalies in IoT

Journal of Applied Mathematics
The constantly changing characteristics of distributed networks and Internet of Things and additionally their susceptibility to anomalies render maintaining security and resilience complicated.
Faizah D. Alanazi
doaj   +2 more sources

Topological Aspects of Quadratic Graphs and M-Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index.
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri   +4 more
doaj   +2 more sources

A Unified Approach to Image Recognition and Cryptography via Flexible Weak Inverse Property Quasigroups

Journal of Function Spaces
Nonassociative algebra presents multiple options for comprehending and dealing with difficulties in graph theory, artificial intelligence, and cryptography.
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, Samuel Asefa Fufa   +4 more
doaj   +2 more sources

Cycles of quadratic Latin squares and antiperfect 1‐factorisations

Journal of Combinatorial Designs, Volume 31, Issue 9, Page 447-475, September 2023., 2023
Abstract A Latin square of order n $n$ is an n × n $n\times n$ matrix of n $n$ symbols, such that each symbol occurs exactly once in each row and column. For an odd prime power q $q$ let F q ${{\mathbb{F}}}_{q}$ denote the finite field of order q $q$.
Jack Allsop
wiley   +1 more source

A New Graphical Representation of the Old Algebraic Structure

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The most recent advancements in algebra and graph theory enable us to ask a straightforward question: what practical use does this graph connected with a mathematical system have in the real world? With the use of algebraic approaches, we may now tackle a wide range of graph theory‐related problems.
Muhammad Nadeem, Imran Siddique, Md. Ashraful Alam, Waqas Ali, Xuanlong Ma   +4 more
wiley   +1 more source

Some Algebraic Properties of the Wilson Loop

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this article, some algebraic properties of the Wilson loop have been investigated in a broad manner. These properties include identities, autotopisms, and implications. We use some equivalent conditions to study the behavior of holomorphism of this loop. Under the shadow of this holomorphism, we are able to observe coincident loops.
Han Li, M. Nadeem, M. A. Ali, H. Mutee ur Rehman, Yuan Yi   +4 more
wiley   +1 more source

[Retracted] Double Weak Hopf Quiver and Its Path Coalgebra

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The main input of this research is the introduction of the concept of double weak Hopf quiver (DWHQ). In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. Furthermore, the module and comodule structures on the said WHA are discussed.
Muhammad Naseer Khan, Munir Ahmed, Muhammad Arshad, Waleed Almutiry, Rashad A. R. Bantan, Mohammed Elgarhy, Muhammad Gulzar   +6 more
wiley   +1 more source

On Characterization of Graphs Structures Connected with Some Algebraic Properties

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, we have characterized graph structures connected with some algebraic properties. Also, this paper is actually the concatenation of graph theory and algebra. We have introduced left and right inverse graphs of antiautomorphic inverse property loops.
Rongbing Huang, Muhammad Nadeem, Iqra Rashid, M.K. Siddiqui, Samuel Asefa Fufa, Shaojian Qu   +5 more
wiley   +1 more source

Construction of Mutually Orthogonal Graph Squares Using Novel Product Techniques

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
Sets of mutually orthogonal Latin squares prescribe the order in which to apply different treatments in designing an experiment to permit effective statistical analysis of results, they encode the incidence structure of finite geometries, they encapsulate the structure of finite groups and more general algebraic objects known as quasigroups, and they ...
A. El-Mesady, Omar Bazighifan, Mehar Ali Malik   +2 more
wiley   +1 more source

Isotopic Properties of Neutrosophic Soft Quasigroup and Its Application in Decision-making [PDF]

Neutrosophic Sets and Systems
A Q-neutrosophic soft quasigroup (ϕ Q, A) represents a novel mathematical framework designed to address scenarios characterized by indeterminate occurrences.
Benard Osoba, Oyebo Tunde Yakub, Abdulkareem Abdulafeez Olalekan, Oyewole Oluwapamilerin, Adenibuyan Micheal Tokunbo, Oluwatobi Balogun, Adekola Lanrewaju Olumide   +6 more
doaj   +1 more source