Lifting Redundancy from Latin Squares to Pandiagonal Latin Squares
نویسندگان
چکیده
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. Lifting Redundancy from Latin Squares to Pandiagonal Latin Squares Dedicated to Ajana Beke 18 August 2013 Bart Demoen Department of Computer Science KU Leuven Abstract 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.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.
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