AbstractThe notion of a Latin square is generalized. The natural object on which to define this extension is the torus. A theorem is proved which shows that the existence of a Latin square implies the existence of a linear Latin square, a Latin square with special form. The theorems in the paper are used to provide alternate proofs of results due to Pólya and Chandra (in relation to a problem of Moser). The inability to extend the results to orthogonal Latin squares is noted
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...
Latin squares are two-dimensional patterns of symbols. Studied since the 18th century, they now find...
AbstractThe notion of a Latin square is generalized. The natural object on which to define this exte...
AbstractIn this paper, a new concept, k-plex orthogonality of Latin squares, is introduced. It gener...
AbstractThe classical definition of Latin squares is generalized by allowing multiple occurences of ...
summary:We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin ...
Intercalates and the maximum number of intercalates are presented. We introduced partially intercala...
We define two symmetrical analogues of the notion of an outline latin square; we prove that each is ...
AbstractWe define two symmetrical analogues of the notion of an outline latin square; we prove that ...
A lot of research is being done on the various properties of Partial Latin Squares, with emphasis be...
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...
AbstractA finite latin square is an n×n matrix whose entries are elements of the set {1,…,n} and no ...
Transversal theory can be used to show how and when Latin rectangles can be extended to Latin square...
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...
Latin squares are two-dimensional patterns of symbols. Studied since the 18th century, they now find...
AbstractThe notion of a Latin square is generalized. The natural object on which to define this exte...
AbstractIn this paper, a new concept, k-plex orthogonality of Latin squares, is introduced. It gener...
AbstractThe classical definition of Latin squares is generalized by allowing multiple occurences of ...
summary:We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin ...
Intercalates and the maximum number of intercalates are presented. We introduced partially intercala...
We define two symmetrical analogues of the notion of an outline latin square; we prove that each is ...
AbstractWe define two symmetrical analogues of the notion of an outline latin square; we prove that ...
A lot of research is being done on the various properties of Partial Latin Squares, with emphasis be...
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...
AbstractA finite latin square is an n×n matrix whose entries are elements of the set {1,…,n} and no ...
Transversal theory can be used to show how and when Latin rectangles can be extended to Latin square...
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...
Latin squares are two-dimensional patterns of symbols. Studied since the 18th century, they now find...
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