Add to ORKGAbstract: A Latin square arrangement is an arrangement of s symbols in s rows and s columns, such that every symbol occurs once in each row and each column. When two Latin squares of same order are superimposed on one another, in the resultant array if every ordered pair of symbols occurs exactly once, then the two Latin squares are said to be orthogonal. If in a set of Latin squares, any two Latin squares are orthogonal then the set is called Mutually Orthogonal Latin Squares (MOLS) of order s. Methods of constructing MOLS when v is prime or prime power are discussed here. Further, the use of MOLS for the construction of experimental designs like Balanced Incomplete Bloc
Two n×n Latin squares L1,L2 are said to be orthogonal if, for every ordered pair (x, y) of symbols, ...
A Latin square is a grid or matrix containing the same number of rows and columns (k, say). The cell...
AbstractIn this paper, a new concept, k-plex orthogonality of Latin squares, is introduced. It gener...
A Latin square of order n is an n × n array in which each row and column contains symbols from an n-...
summary:We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin ...
In this expository paper we have demonstrated the importance of the theory of Latin squares and mutu...
AbstractWe describe a general method of construction for sets of mutually orthogonal latin squares (...
AbstractThe classical definition of Latin squares is generalized by allowing multiple occurences of ...
A pair of Latin squares, A and B, of order n, is said to be pseudo-orthogonal if each symbol in A is...
A pair of Latin squares, A and B, of order n, is said to be pseudo-orthogonal if each symbol in A is...
A pair of Latin squares, A and B, of order n, is said to be pseudo-orthogonal if each symbol in A is...
In this paper it is shown that any partial Latin square of order n can be embedded in a Latin square...
Latin squares were first introduced and studied by the famous mathematician Leonhard Euler in the 17...
summary:We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin ...
In this paper, it is shown that a latin square of order n with n ≥ 3 and n≠6 can be embedded in a la...
Two n×n Latin squares L1,L2 are said to be orthogonal if, for every ordered pair (x, y) of symbols, ...
A Latin square is a grid or matrix containing the same number of rows and columns (k, say). The cell...
AbstractIn this paper, a new concept, k-plex orthogonality of Latin squares, is introduced. It gener...
A Latin square of order n is an n × n array in which each row and column contains symbols from an n-...
summary:We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin ...
In this expository paper we have demonstrated the importance of the theory of Latin squares and mutu...
AbstractWe describe a general method of construction for sets of mutually orthogonal latin squares (...
AbstractThe classical definition of Latin squares is generalized by allowing multiple occurences of ...
A pair of Latin squares, A and B, of order n, is said to be pseudo-orthogonal if each symbol in A is...
A pair of Latin squares, A and B, of order n, is said to be pseudo-orthogonal if each symbol in A is...
A pair of Latin squares, A and B, of order n, is said to be pseudo-orthogonal if each symbol in A is...
In this paper it is shown that any partial Latin square of order n can be embedded in a Latin square...
Latin squares were first introduced and studied by the famous mathematician Leonhard Euler in the 17...
summary:We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin ...
In this paper, it is shown that a latin square of order n with n ≥ 3 and n≠6 can be embedded in a la...
Two n×n Latin squares L1,L2 are said to be orthogonal if, for every ordered pair (x, y) of symbols, ...
A Latin square is a grid or matrix containing the same number of rows and columns (k, say). The cell...
AbstractIn this paper, a new concept, k-plex orthogonality of Latin squares, is introduced. It gener...