Latin parallelepipeds not completing to a cube
Martin Kochol (1991)
Mathematica Slovaca
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Displaying similar documents to “Latin -parallelepipeds not completing to a Latin cube”
Latin parallelepipeds not completing to a cube
On the completion of incomplete latin squares.
R. Dacic (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
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The disjoint -flower intersection problem for Latin squares.
Lefevre, James G., McCourt, Thomas A. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Latin squares of order 10.
McKay, Brendan D., Rogoyski, Eric (1995)
The Electronic Journal of Combinatorics [electronic only]
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A generalization of transversals for Latin squares.
Wanless, Ian M. (2002)
The Electronic Journal of Combinatorics [electronic only]
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On biembeddings of Latin squares.
Grannell, M.J., Griggs, T.S., Knor, M. (2009)
The Electronic Journal of Combinatorics [electronic only]
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The many formulae for the number of Latin rectangles.
Stones, Douglas S. (2010)
The Electronic Journal of Combinatorics [electronic only]
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When is an Incomplete 3 × n Latin Rectangle Completable?
Reinhardt Euler, Paweł Oleksik (2013)
Discussiones Mathematicae Graph Theory
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We use the concept of an availability matrix, introduced in Euler [7], to describe the family of all minimal incomplete 3 × n latin rectangles that are not completable. We also present a complete description of minimal incomplete such latin squares of order 4.
A class of latin squares derived from finite abelian groups
Anthony B. Evans (2014)
Commentationes Mathematicae Universitatis Carolinae
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We consider two classes of latin squares that are prolongations of Cayley tables of finite abelian groups. We will show that all squares in the first of these classes are confirmed bachelor squares, squares that have no orthogonal mate and contain at least one cell though which no transversal passes, while none of the squares in the second class can be included in any set of three mutually orthogonal latin squares.