ListarArtículos (Matemática Aplicada I) por materia "Latin square"
Mostrando ítems 1-10 de 10
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A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five
(AIMS Press, 2020)This paper delves into the study of critical sets of Latin squares having a given isotopism in their autotopism group. ...
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A computational approach to analyze the Hadamard quasigroup product
(American Institute of Mathematical Sciences (AIMS), 2023-03-30)Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as ...
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A historical perspective of the theory of isotopisms
(MDPI, 2018-08-03)In the middle of the twentieth century, Albert and Bruck introduced the theory of isotopisms of non-associative algebras ...
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A new quasigroup isomorphism invariant arising from fractal image patterns
(Chişinău: Institutul de Matematică şi Informatică "Vladimir Andrunachievici", 2022)The analysis and recognition of fractal image patterns derived from Cayley tables has turned out to play a relevant role ...
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Computation of isotopisms of algebras over finite fields by means of graph invariants
(Elsevier, 2017-07)In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over ...
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Computing autotopism groups of partial Latin rectangles: A pilot study
(Wiley, 2019)Computing the autotopism group of a partial Latin rectangle can be performed in a variety of ways. This pilot study has ...
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Cycle structures of autotopisms of the Latin squares of order up to 11
(2012)The cycle structure of a Latin square autotopism Θ = (α, β, γ) is the triple (lα, lβ, lγ), where lδ is the cycle structure ...
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Gröbner bases and the number of Latin squares related to autotopisms of order ≤7
(Elsevier, 2007)Latin squares can be seen as multiplication tables of quasigroups, which are, in general, noncommutativeand non-associative ...
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Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups
(Elsevier, 2017)An $r \times s$ partial Latin rectangle $(l_{ij})$ is an $r \times s$ matrix containing elements of $\{1,2,\ldots,n\} \cup ...
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Set-independence graphs of vector spaces and partial quasigroups
(Yildiz Technical University, 2023-09-04)As a generalization of independence graphs of vector spaces and groups, we introduce the notions of set-independence graphs ...