Add to ORKGIt is proved that the existence of a set of $(n-3)$ Mutually Orthogonal Latin Squares (MOLS) of order $n$ implies the existence of a complete set of $(n-1)$ such squares and hence the existence of a finite projective plane $PG(2, n)$
AbstractLet N(n) denote the maximum number of mutually orthogonal Latin squares of order n. It is sh...
A Latin square of order n is an n × n array in which each row and column contains symbols from an n-...
In this paper, the complexi¯cation of a Latin square, a complexi¯ed set of pairwise orthogonal Latin...
In the first part of this article we determine the exact number of different reduced complete sets o...
Suppose that n is even and a set of n/2 -1 mutually orthogonal Latin squares of order n exists. Then...
summary:We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin ...
AbstractWe investigate the construction of sets of t latin squares of a given non-prime-power order ...
AbstractWe define several types of transformations on the class of complete sets of pairwise orthogo...
In this paper it is shown that any partial Latin square of order n can be embedded in a Latin square...
The maximum number of mutually orthogonal Sudoku Latin squares (MOSLS) of order is n = m(2) is n - m...
AbstractSome new constructions of mutually orthogonal Latin squares are shown. Moreover, if N(n) den...
A Latin square of side n defines in a natural way a finite geometry on 3. n points, with three lines...
We show there is a natural connection between Latin squares and commutative sets of monomials defini...
AbstractA Latin square of side n defines in a natural way a finite geometry on 3n points, with three...
AbstractLet N(n) be the maximal number of mutually orthogonal Latin squares of order n and let nr be...
AbstractLet N(n) denote the maximum number of mutually orthogonal Latin squares of order n. It is sh...
A Latin square of order n is an n × n array in which each row and column contains symbols from an n-...
In this paper, the complexi¯cation of a Latin square, a complexi¯ed set of pairwise orthogonal Latin...
In the first part of this article we determine the exact number of different reduced complete sets o...
Suppose that n is even and a set of n/2 -1 mutually orthogonal Latin squares of order n exists. Then...
summary:We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin ...
AbstractWe investigate the construction of sets of t latin squares of a given non-prime-power order ...
AbstractWe define several types of transformations on the class of complete sets of pairwise orthogo...
In this paper it is shown that any partial Latin square of order n can be embedded in a Latin square...
The maximum number of mutually orthogonal Sudoku Latin squares (MOSLS) of order is n = m(2) is n - m...
AbstractSome new constructions of mutually orthogonal Latin squares are shown. Moreover, if N(n) den...
A Latin square of side n defines in a natural way a finite geometry on 3. n points, with three lines...
We show there is a natural connection between Latin squares and commutative sets of monomials defini...
AbstractA Latin square of side n defines in a natural way a finite geometry on 3n points, with three...
AbstractLet N(n) be the maximal number of mutually orthogonal Latin squares of order n and let nr be...
AbstractLet N(n) denote the maximum number of mutually orthogonal Latin squares of order n. It is sh...
A Latin square of order n is an n × n array in which each row and column contains symbols from an n-...
In this paper, the complexi¯cation of a Latin square, a complexi¯ed set of pairwise orthogonal Latin...