Title
The Sudoku completion problem with rectangular hole pattern is NP-complete.
Abstract
The sudoku completion problem is a special case of the latin square completion problem and both problems are known to be NP-complete. However, in the case of a rectangular hole pattern–i.e. each column (or row) is either full or empty of symbols–it is known that the latin square completion problem can be solved in polynomial time. Conversely, we prove in this paper that the same rectangular hole pattern still leaves the sudoku completion problem NP-complete.
Year
DOI
Venue
2012
10.1016/j.disc.2012.07.022
Discrete Mathematics
Keywords
Field
DocType
Latin square,Quasigroup,Sudoku,NP-complete
Discrete mathematics,NP-complete,Combinatorics,Mathematics of Sudoku,Latin square,Time complexity,Quasigroup,Mathematics,Special case
Journal
Volume
Issue
ISSN
312
22
0012-365X
Citations 
PageRank 
References 
2
0.43
11
Authors
4
Name
Order
Citations
PageRank
Ramón Béjar130536.72
Cèsar Fernández215719.19
Carles Mateu37914.22
Magda Valls4678.68