Results 11 to 20 of about 137 (119)

Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups

Journal of Mathematics
A relatively new and rapidly expanding area of mathematics research is the study of graphs’ spectral properties. Spectral graph theory plays a very important role in understanding certifiable applications such as cryptography, combinatorial design, and ...
Muhammad Nadeem, Nwazish Ali, Hafiz Muhammad Bilal, Md. Ashraful Alam, M. I. Elashiry, Kholood Alnefaie   +5 more
doaj   +2 more sources

An Algebraic Approach of Topological Indices Connected with Finite Quasigroups

Journal of Function Spaces
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.
Muhammad Nadeem, Md. Ashraful Alam, Nwazish Ali, M. I. Elashiry   +3 more
doaj   +2 more sources

Holomorphism and Edge Labeling: An Inner Study of Latin Squares Associated with Antiautomorphic Inverse Property Moufang Quasigroups with Applications

Complexity
Taking into account the most recent improvements in graph theory and algebra, we can associate graphs of some mathematical structures with certifiable, widely known applications.
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Ismail Naci Cangul, J. Akhter   +4 more
doaj   +2 more sources

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

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

FOUNDATIONS OF QUASIGROUPS. [PDF]

Proc Natl Acad Sci U S A, 1956
Stein SK.
europepmc   +5 more sources

Okubo quasigroups

Documenta Mathematica, 2022
Paige loops, simple non-associative Moufang loops, were constructed by Paige as quotients of the set of Zorn vector-matrices of unit norm under split octonion multiplication. In this paper, we show that the same quotient set sustains two related simple quasigroup structures, in which the split octonion multiplication is replaced with multiplication ...
Smith, Jonathan D. H., Vojtěchovský, Petr   +1 more
openaire   +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