A number-theoretic function related to Latin squares

DOI10.1016/0097-3165(75)90052-7zbMath0315.05013OpenAlexW2024428734MaRDI QIDQ1220935

Allan B. Cruse

Publication date: 1975

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(75)90052-7

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Orthogonal arrays, Latin squares, Room squares (05B15) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (3)

Related necessary conditions for completing partial latin squares ⋮ On Latin squares and the facial structure of related polytopes ⋮ Combinatorial analysis. (Matrix problems, choice theory)

Cites Work

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• Restricted patterns
• On embedding incomplete symmetric Latin squares
• Extremal configurations and decomposition theorems. I
• Multidimensional stochastic matrices and patterns
• Embedding Incomplete Latin Squares
• On Representatives of Subsets
• Incomplete Diagonals of Latin Squares
• On Completing Latin Rectangles
• Comment on a Note by J. Marica and J. Schönheim
• A Combinatorial Theorem with an Application to Latin Rectangles
• A Combinatorial Problem on Abelian Groups
• Systems of Distinct Representatives
• An existence theorem for latin squares

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