In the pandiagonal Latin Square problem, a square grid of size N needs to be filled with N types of objects, so that each column, row, and wrapped around diagonal (both up and down) contains an object of each type. This problem dates back to at least Euler. In its specification as a constraint satisfaction problem, one uses the all_different constraint. The known redundancy result about all_different constraints in the Latin Square problem is lifted to the pandiagonal Latin Square problem. This proof method's theoretical limits are established.nrpages: 9status: publishe
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...
AbstractLet L be a Latin square of order n with entries from {0, 1,…, n − 1}. In addition, L is said...
This paper studies the redundancy properties of the constraints used when formulating the well known...
A Latin square is a grid or matrix containing the same number of rows and columns (k, say). The cell...
A diagonal Latin square of order n can be embedded in a diagonal Latin square of order t if and only...
A multi-latin square of order n and index k is an n×n array of multisets, each of cardinality k, suc...
A theory about Latin Squares following [1]. A Latin Square is a n×n table filled with integers from ...
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...
Integer programming models may be used to construct special types of Latin squares by appropriately ...
A finite latin square is an n × n matrix whose entries are elements of the set {1,...,n} and no elem...
Latin squares were first introduced and studied by the famous mathematician Leonhard Euler in the 17...
A Diagonal Latin Tableau of size N (DLT(N)) is half a Latin Square (LS(N)), with the same disequalit...
A Diagonal Latin Tableau of size N (DLT(N)) is half a Latin Square (LS(N)), with the same disequalit...
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...
AbstractLet L be a Latin square of order n with entries from {0, 1,…, n − 1}. In addition, L is said...
This paper studies the redundancy properties of the constraints used when formulating the well known...
A Latin square is a grid or matrix containing the same number of rows and columns (k, say). The cell...
A diagonal Latin square of order n can be embedded in a diagonal Latin square of order t if and only...
A multi-latin square of order n and index k is an n×n array of multisets, each of cardinality k, suc...
A theory about Latin Squares following [1]. A Latin Square is a n×n table filled with integers from ...
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...
Integer programming models may be used to construct special types of Latin squares by appropriately ...
A finite latin square is an n × n matrix whose entries are elements of the set {1,...,n} and no elem...
Latin squares were first introduced and studied by the famous mathematician Leonhard Euler in the 17...
A Diagonal Latin Tableau of size N (DLT(N)) is half a Latin Square (LS(N)), with the same disequalit...
A Diagonal Latin Tableau of size N (DLT(N)) is half a Latin Square (LS(N)), with the same disequalit...
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...
AbstractLet L be a Latin square of order n with entries from {0, 1,…, n − 1}. In addition, L is said...