Results 11 to 20 of about 1,878 (148)

Topological Sequences Connected With Inverse Graphs of Finite Flexible Weak Inverse Property Quasigroups: An Approach From Polynomials to Machine Learning

International Journal of Mathematics and Mathematical Sciences
Research on the confluence of algebra, graph theory, and machine learning has resulted in significant discoveries in mathematics, computer science, and artificial intelligence. Polynomial coefficients can be beneficial in machine learning.
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

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

Linking Bipartiteness and Inversion in Algebra via Graph-Theoretic Methods and Simulink

Complexity
Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, M. I. Elashiry, Samuel Asefa Fufa   +5 more
doaj   +2 more sources

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

Journal of Applied Mathematics
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 ...
Muhammad Nadeem, Sharafat Ali, Md. Ashraful Alam   +2 more
doaj   +2 more sources

Isomorphisms of quadratic quasigroups [PDF]

Proceedings of the Edinburgh Mathematical Society, 2022
Let $\mathbb F$ be a finite field of odd order and $a,b\in\mathbb F\setminus\{0,1\}$ be such that $\chi(a) = \chi(b)$ and $\chi(1-a)=\chi(1-b)$, where χ is the extended quadratic character on $\mathbb F$.
A. Drápal, Ian M. Wanless
semanticscholar   +1 more source

Quotient and transversal mappings for topological quasigroups

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki, 2023
This article is devoted to studying the structure of topological left (or right) quasigroups, which play a great role in noncommutative geometry. Quotient and transversal mappings are important in the theory of differentiable manifolds and topological ...
S. V. Ludkowski
semanticscholar   +1 more source

Topologies on Smashed Twisted Wreath Products of Metagroups

Axioms, 2023
In this article, topologies on metagroups and quasigroups are studied. Topologies on smashed twisted wreath products of metagroups are scrutinized, which are making them topological metagroups. For this purpose, transversal sets are studied.
Sergey Victor Ludkowski
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On the universality and isotopy-isomorphy of (r,s,t)-inverse quasigroups and loops with applications to cryptography

Quasigroups And Related Systems, 2023
This paper introduced a condition called $\mathcal{R}$-condition under which $(r,s,t)$-inverse quasigroups are universal. Middle isotopic $(r,s,t)$-inverse loops, satisfying the $\mathcal{R}$-condition and possessing a trivial set of $r$-weak inverse ...
Richard Ilemobade, Olufemi George, Jaiyeola Temitope Gbolahan   +2 more
semanticscholar   +1 more source