Results 41 to 50 of about 137 (119)

Canonical Labeling of Latin Squares in Average‐Case Polynomial Time

Random Structures &Algorithms, Volume 66, Issue 4, July 2025.
ABSTRACT A Latin square of order n$$ n $$ is an n×n$$ n\times n $$ matrix in which each row and column contains each of n$$ n $$ symbols exactly once. For ε>0$$ \varepsilon >0 $$, we show that with high probability a uniformly random Latin square of order n$$ n $$ has no proper subsquare of order larger than n1/2log1/2+εn$$ {n}^{1/2}{\log}^{1/2 ...
Michael J. Gill, Adam Mammoliti, Ian M. Wanless   +2 more
wiley   +1 more source

Extensions of Steiner Triple Systems

Journal of Combinatorial Designs, Volume 33, Issue 3, Page 94-108, March 2025.
ABSTRACT In this article, we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corresponds to the center of the Steiner loop. We investigate extensions of Steiner loops, focusing in particular on the case of Schreier extensions, which provide a ...
Giovanni Falcone, Agota Figula, Mario Galici   +2 more
wiley   +1 more source

An encryption algorithm using a generalization of the Markovski algorithm and T-quasigroups

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
Here is a more detailed description of the algorithm proposed in [1]. This algorithm simultaneously uses two cryptographic procedures: encryption using a generalization of the Markovski algorithm [2] and encryption using a system of orthogonal ...
Nadezhda Malyutina, Victor Shcherbacov
doaj   +1 more source

Newton da Costa and the school of Curitiba

Manuscrito, 2011
This paper intends to report on the beginning of the publications of Newton da Costa outside Brazil. Two mathematicians played an important role in this beginning: Marcel Guillaume from the University of Clermont-Ferrand and Paul Dedecker from the ...
Artibano Micali
doaj   +1 more source

Yetter–Drinfeld Modules for Group-Cograded Hopf Quasigroups

Mathematics, 2022
Let H be a crossed group-cograded Hopf quasigroup. We first introduce the notion of p-Yetter–Drinfeld quasimodule over H. If the antipode of H is bijective, we show that the category YDQ(H) of Yetter–Drinfeld quasimodules over H is a crossed category ...
Huili Liu, Tao Yang, Lingli Zhu
doaj   +1 more source

Subsystems and Automorphisms of Some Finite Magmas of Order k + k2 [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
This work is devoted to the study of subsystems of some finite magmas S = (V,*) with a generating set of k elements and order k + k2. For k more than 1, the magmas S are not semigroups and quasigroups.
Litavrin, Andrey Viktorovich
doaj   +1 more source

CYCLIC ENTROPIC QUASIGROUPS

Demonstratio Mathematica, 2009
AbstractIn this paper we explain the relationship of some entropic quasigroups to abelian groups with involution. It is known that (
Grzegorz Bińczak, Joanna Kaleta
openaire   +1 more source

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

Complexity, Volume 2025, Issue 1, 2025.
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 specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, M. I. Elashiry, Samuel Asefa Fufa, Marcin Mrugalski   +6 more
wiley   +1 more source

Inverse Spectrum and Structure of Topological Metagroups

Mathematics
In this article, a structure of topological metagroups is scrutinized. Their inverse spectra are studied. This also permits us to construct abundant families of topological metagroups and quasigroups.
Sergey Victor Ludkowski
doaj   +1 more source

ARH-quasigroups

Mathematical communications, 2011
In this paper, the concept of an ARH-quasigroup is introduced and identities valid in that quasigroup are studied. The geometrical concept of an affine-regular heptagon is defined in a general ARH-quasigroup and geometrical representation in the quasigroup $C(2 cos pi/7)$ is given.
Kolar - Šuper, Ružica, Kolar - Begović, Zdenka, Volenec, Vladimir   +2 more
openaire   +4 more sources