Add to ORKGIntercalates and the maximum number of intercalates are presented. We introduced partially intercalate complete Latin squares and results on the existence of some infinite families as well as Latin squares of smaller size is given. The second part of our work summarizes the main results on orthogonal Latin squares. Special type of Latin squares, gerechte designs, are introduced and proof for the existence of such orthogonal Latin squares of prime orders is also presented
Semi-Latin squares are generalizations of Latin squares with more than one letter in each cell. Vari...
Semi-Latin squares are generalizations of Latin squares with more than one letter in each cell. Vari...
Two Latin squares L = [l(i, j )] and M = [m(i, j )], of even order n with entries {0, 1, 2,. ., n - ...
summary:We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin ...
AbstractIn this paper, a new concept, k-plex orthogonality of Latin squares, is introduced. It gener...
A multi-latin square of order n and index k is an n×n array of multisets, each of cardinality k, suc...
A multi-latin square of order n and index k is an n×n array of multisets, each of cardinality k, suc...
A multi-latin square of order n and index k is an n×n array of multisets, each of cardinality k, suc...
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...
In this paper it is shown that any partial Latin square of order n can be embedded in a Latin square...
We prove several results about substructures in Latin squares. First, we explain how to adapt our re...
AbstractThe classical definition of Latin squares is generalized by allowing multiple occurences of ...
A Latin square of order n is an n × n array in which each row and column contains symbols from an n-...
The existence of double diagonal and cross Latin squares for all order (except 2 and 3 in the first ...
AbstractThis paper is a continuation of a study on a new class of combinatorial structures called ge...
Semi-Latin squares are generalizations of Latin squares with more than one letter in each cell. Vari...
Semi-Latin squares are generalizations of Latin squares with more than one letter in each cell. Vari...
Two Latin squares L = [l(i, j )] and M = [m(i, j )], of even order n with entries {0, 1, 2,. ., n - ...
summary:We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin ...
AbstractIn this paper, a new concept, k-plex orthogonality of Latin squares, is introduced. It gener...
A multi-latin square of order n and index k is an n×n array of multisets, each of cardinality k, suc...
A multi-latin square of order n and index k is an n×n array of multisets, each of cardinality k, suc...
A multi-latin square of order n and index k is an n×n array of multisets, each of cardinality k, suc...
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...
In this paper it is shown that any partial Latin square of order n can be embedded in a Latin square...
We prove several results about substructures in Latin squares. First, we explain how to adapt our re...
AbstractThe classical definition of Latin squares is generalized by allowing multiple occurences of ...
A Latin square of order n is an n × n array in which each row and column contains symbols from an n-...
The existence of double diagonal and cross Latin squares for all order (except 2 and 3 in the first ...
AbstractThis paper is a continuation of a study on a new class of combinatorial structures called ge...
Semi-Latin squares are generalizations of Latin squares with more than one letter in each cell. Vari...
Semi-Latin squares are generalizations of Latin squares with more than one letter in each cell. Vari...
Two Latin squares L = [l(i, j )] and M = [m(i, j )], of even order n with entries {0, 1, 2,. ., n - ...