Subsquare-free Latin squares of odd order

DOI10.1016/j.ejc.2005.07.002zbMath1109.05028OpenAlexW2090690984MaRDI QIDQ854835

Ian M. Wanless, Bridget S. Webb, Barbara M. Maenhaut

Publication date: 7 December 2006

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2005.07.002

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (7)

Cycle structure of autotopisms of quasigroups and latin squares ⋮ Substructures in Latin squares ⋮ Row‐Hamiltonian Latin squares and Falconer varieties ⋮ Spreading linear triple systems and expander triple systems ⋮ Bounds on the number of small Latin subsquares ⋮ Bounds on the number of autotopisms and subsquares of a Latin square ⋮ Latin Squares with a Unique Intercalate

Cites Work

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• Latin squares. New developments in the theory and applications
• Most Latin squares have many subsquares
• Diagonally cyclic Latin squares.
• Latin squares with one subsquare
• A Direct Construction for Latin Squares Without Proper Subsquares

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