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On embedding incomplete symmetric latin squares

โœ Scribed by Allan B Cruse


Book ID
107884792
Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
79 KB
Volume
16
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


Symmetric Latin Squares
โœ Minnick, R. C.; Elspas, B.; Short, R. A. ๐Ÿ“‚ Article ๐Ÿ“… 1963 ๐Ÿ› Institute of Electrical and Electronics Engineers ๐ŸŒ English โš– 415 KB
Incomplete conjugate orthogonal idempote
โœ F.E Bennett; L Zhu ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 914 KB

Let us denote by COILS(v) a (3, 2, 1)-conjugate orthogonal idempotent Latin square of order v, and by ICOILS(v, n) an incomplete COILS(v) missing a sub-COILS(n). We shall investigate the existence of ICOILS(v, n). The construction of an ICOILS(8, 2) has already been instrumental in the construction

The recognition of symmetric latin squar
โœ Edwin C. Ihrig; Benjamin M. Ihrig ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 118 KB

## Abstract A latin square __S__ is isotopic to another latin square __S__โ€ฒ if __S__โ€ฒ can be obtained from __S__ by permuting the row indices, the column indices and the symbols in __S__. Because the three permutations used above may all be different, a latin square which is isotopic to a symmetric

Embedding a latin square in a pair of or
โœ Peter Jenkins ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 123 KB

## Abstract In this paper, it is shown that a latin square of order __n__ with __n__โ€‰โ‰ฅโ€‰3 and __n__โ€‰โ‰ โ€‰6 can be embedded in a latin square of order __n__^2^ which has an orthogonal mate. A similar result for idempotent latin squares is also presented. ยฉ 2005 Wiley Periodicals, Inc. J Combin Designs 1