Monogamous latin squares

DOI10.1016/j.jcta.2010.11.011zbMath1232.05033OpenAlexW2056226188MaRDI QIDQ2431245

Peter Danziger, Bridget S. Webb, Ian M. Wanless

Publication date: 11 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2010.11.011

zbMATH Keywords

transversalMOLSlatin squarecrimped Latin squaremaxMOLSmonogamous

Mathematics Subject Classification ID

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

Related Items (10)

Latin squares with restricted transversals ⋮ Latin Squares with Restricted Transversals ⋮ On the existence of unparalleled even cycle systems ⋮ Maximal sets of mutually orthogonal frequency squares ⋮ Switching codes and designs ⋮ The number of different reduced complete sets of MOLS corresponding to \(\mathrm{PG} (2,q)\) ⋮ Enumeration of MOLS of small order ⋮ Transversals of Latin squares and covering radius of sets of permutations ⋮ Bachelor latin squares with large indivisible plexes ⋮ Mutually orthogonal binary frequency squares

Cites Work

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• Indivisible partitions of Latin squares
• Latin squares without orthogonal mates
• The existence of Latin squares without orthogonal mates
• The number of transversals in a Latin square
• Indivisible plexes in Latin squares
• Maximal sets of Latin squares and partial transversals
• Maximal sets of mutually orthogonal Latin squares
• Bachelor latin squares with large indivisible plexes
• Latin Squares with Restricted Transversals
• Latin squares with no small odd plexes
• Atomic Latin squares of order eleven

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