Constructing transpose-orthogonal Latin squares
β Scribed by Sandra C McLaurin; Douglas D Smith
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 364 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this article, we show how to construct pairs of orthogonal pandiagonal Latin squares and panmagic squares from certain types of modular __n__βqueens solutions. We prove that when these modular __n__βqueens solutions are symmetric, the panmagic squares thus constructed will be associa
Some new constructions of mutually orthogonal Latin sqL=es are shown. Moreover, if N(n) denotes the maximum number of mutually orthogonal Lsltin squares of order n. then it is proved that N(n)~7 for n > 1750.
## Abstract An orthogonal latin square graph (OLSG) is one in which the vertices are latin squares of the same order and on the same symbols, and two vertices are adjacent if and only if the latin squares are orthogonal. If __G__ is an arbitrary finite graph, we say that __G__ is realizable as an O