Results 61 to 70 of about 998 (166)

Row‐Hamiltonian Latin squares and Falconer varieties

Proceedings of the London Mathematical Society, Volume 128, Issue 1, January 2024.
Abstract A Latin square is a matrix of symbols such that each symbol occurs exactly once in each row and column. A Latin square L$L$ is row‐Hamiltonian if the permutation induced by each pair of distinct rows of L$L$ is a full cycle permutation. Row‐Hamiltonian Latin squares are equivalent to perfect 1‐factorisations of complete bipartite graphs.
Jack Allsop, Ian M. Wanless
wiley   +1 more source

Quasigroups, Braided Hopf (Co)quasigroups and Radford’s Biproducts of Quasi-Diagonal Type

Mathematics
Given the Yetter–Drinfeld category over any quasigroup and a braided Hopf coquasigroup in this category, we first mainly study the Radford’s biproduct corresponding to this braided Hopf coquasigroup.
Yue Gu, Shuanhong Wang
doaj   +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

Aplikasi Quasigroup Dalam Pembentukan Kunci Rahasia Pada Algoritma Kriptografi Konvensional [PDF]

, 2013
Skripsi ini membahas tentang cara mengkonstruksi latin square untuk memperoleh quasigroup dengan menggunakan modifikasi teorema Marshal Hall. Dengan menambahkan headline dan sideline pada latin square dapat diperoleh tabel operasi quasigroup.
I, NurFadilatul
core  

Quantum Quasigroups and the Quantum Yang–Baxter Equation

Axioms, 2016
Quantum quasigroups are algebraic structures providing a general self-dual framework for the nonassociative extension of Hopf algebra techniques. They also have one-sided analogues, which are not self-dual.
Jonathan Smith
doaj   +1 more source

ARO-quasigroups

Quasigroups and related systems, 2010
In this paper the concept of ARO-quasigroup is introduced and some identities which are valid in a general ARO-quasigroup are proved. The "geometric" concepts of midpoint, parallelogram and affine-regular octagon is introduced in a general ARO-quasigroup.
Kolar-Šuper, Ružica, Kolar Begović, Zdenka, Volenec, Vladimir   +2 more
openaire   +2 more sources

Certain congruences on quasigroups [PDF]

Proceedings of the American Mathematical Society, 1952
1. Using the ideas of [1],1 we define a lattice-isomorphism between the reversible congruences on a quasigroup and certain congruences on its group of translations. This may be used to get certain properties of the quasigroup congruences from those of the translation-group congruences; for example, it gives a new proof that reversible congruences on a ...
openaire   +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

Quasigroups and quandles

Discrete Mathematics, 1992
A quasigroup \((Q,.,\setminus,/)\) is a set \(Q\) equipped with three binary operations \(.,\setminus,/\) such that (1) \((x/y).y = x\), \((x.y)/y = x\), (2) \(x.(x\setminus y) = y\), \(x\setminus(x.y) = y\). A right quasigroup \((Q,.,/)\) is a set \(Q\) with two binary operations \(.,/\) satisfying (1). A right quasigroup fulfilling \(x.x = x\) and \((
openaire   +2 more sources

Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups

Journal of Mathematics, Volume 2024, Issue 1, 2024.
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 coding theory.
Muhammad Nadeem, Nwazish Ali, Hafiz Muhammad Bilal, Md. Ashraful Alam, M. I. Elashiry, Kholood Alnefaie, Faranak Farshadifar   +6 more
wiley   +1 more source