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Limits of Latin squares
Published 2023-07-01“…Limits of Latin squares, Discrete Analysis 2023:8, 66 pp. There has been a great deal of work over the last fifteen to twenty years on the theme of continuous limits of discrete combinatorial objects. …”
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Orthogonal Latin Square Constructions
Published 2004“…The 18th-century mathematician Euler credited with the development of the latin square combinatorial design, was responsible for numerous theorems and constructions of latin squares. …”
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The intersection of three distinct latin squares
Published 1989-05-01“…<span style="font-style: normal;">In this paper, we mainly solve the intersection problem of three distinct latin squares of two different types: LS and ILS, and the intersections of ICLS and CLSH can be obtained by a similar way.…”
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Augmented Latin Square Designs for Imprecise Data
Published 2023-09-01Subjects: “…augmented latin square design…”
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Completing simple partial k-Latin squares
Published 2018-11-01“…More precisely, generalizing two classic results on the completability of partial Latin squares, we prove the necessary and suffisucient conditions for a completion of a simple m x n k-Latin rectangle to a simple k-Latin square of order n and we show that if m ≤ n/2, any simple partial k-Latin square P of order m embeds in a simple k-Latin square L of order n.…”
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On the (total) Roman domination in Latin square graphs
Published 2024-01-01Subjects: “…latin square…”
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Quantum Latin squares and unitary error bases
Published 2016“…In this paper we introduce quantum Latin squares, combinatorial quantum objects which generalize classical Latin squares, and investigate their applications in quantum computer science. …”
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Quantum Latin squares and unitary error bases
Published 2016“…In this paper we introduce quantum Latin squares, combinatorial quantum objects which generalize classical Latin squares, and investigate their applications in quantum computer science. …”
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Embeddings of generalized Latin squares in finite groups
Published 2015“…Let n be a positive integer. A generalized Latin square of order n is an matrix such that the elements in each row and each column are distinct. …”
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On the spectrum of r-orthogonal Latin squares of different orders
Published 2016-06-01Subjects: “…Latin square…”
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THE CONSTRUCTION AND MAXIMAL SET OF MUTUALLY ORTHOGONAL LATIN SQUARES
Published 2012-06-01Subjects: “…mutually orthogonal latin squares…”
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Evaluation of cryptographic primitives security based on proximity to the Latin square
Published 2016-04-01Subjects: Get full text
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Trivial and Nontrivial Eigenvectors for Latin Squares in Max-Plus Algebra
Published 2022-05-01Subjects: Get full text
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Locally Repairable Codes Based on Permutation Cubes and Latin Squares
Published 2022-01-01Subjects: Get full text
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