Title
When is a partial Latin square uniquely completable, but not its completable product?
Abstract
Let P and Q be uniquely completable partial Latin squares. It is an open problem to determine necessary and sufficient conditions so that the completable product [email protected]?Q is also uniquely completable. So far, only a few specific examples of P have been given such that the completable product of P with itself ([email protected]?P) does not have a unique completion. In this paper, we find a whole class of such partial Latin squares.
Year
DOI
Venue
2008
10.1016/j.disc.2006.06.046
Discrete Mathematics
Keywords
Field
DocType
latin square
Discrete mathematics,Combinatorics,Open problem,Latin square,Mathematics
Journal
Volume
Issue
ISSN
308
13
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
6
Authors
4
Name
Order
Citations
PageRank
Nicholas J. Cavenagh19220.89
Diane Donovan27233.88
Abdollah Khodkar33919.03
G. H. John Van Rees4467.64