On embedding incomplete symmetric latin squares
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
## Abstract A latin square __S__ is isotopic to another latin square __S__โฒ if __S__โฒ 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
## Abstract In this paper, it is shown that a latin square of order __n__ with __n__โโฅโ3 and __n__โโ โ6 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