On the Reconstruction of Latin Squares
Ratko Tošić (1980)
Publications de l'Institut Mathématique
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Ratko Tošić (1980)
Publications de l'Institut Mathématique
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Ford, David, Johnson, Kenneth W. (1996)
Experimental Mathematics
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Andrew Bremner (2001)
Acta Arithmetica
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Lefevre, James G., McCourt, Thomas A. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Ikramov, Kh.D., Matin Far, M. (2004)
Zapiski Nauchnykh Seminarov POMI
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M. Kuczma (1969)
Annales Polonici Mathematici
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John Pais, Richard Singer (2004)
Visual Mathematics
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Xiaoyang Ma, Kai-tai Fang, Yu hui Deng (2017)
Special Matrices
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In this paper we propose a new method, based on R-C similar transformation method, to study classification for the magic squares of order 5. The R-C similar transformation is defined by exchanging two rows and related two columns of a magic square. Many new results for classification of the magic squares of order 5 are obtained by the R-C similar transformation method. Relationships between basic forms and R-C similar magic squares are discussed. We also propose a so called GMV (generating...
McKay, Brendan D., Rogoyski, Eric (1995)
The Electronic Journal of Combinatorics [electronic only]
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Götz Trenkler, Dietrich Trenkler (2013)
Discussiones Mathematicae Probability and Statistics
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Starting with Dürer's magic square which appears in the well-known copper plate engraving Melencolia we consider the class of melancholic magic squares. Each member of this class exhibits the same 86 patterns of Dürer's magic square and is magic again. Special attention is paid to the eigenstructure of melancholic magic squares, their group inverse and their Moore-Penrose inverse. It is seen how the patterns of the original Dürer square to a large extent are passed down also to the inverses...
Dilcher, Karl (2000)
Experimental Mathematics
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S. Van Huffel, J. Vandewalle (1987)
Numerische Mathematik
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D.R. Stinson, L. Zhu (1987)
Aequationes mathematicae
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