Title | ||
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When is a partial Latin square uniquely completable, but not its completable product? |
Abstract | ||
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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 |
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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. Cavenagh | 1 | 92 | 20.89 |
Diane Donovan | 2 | 72 | 33.88 |
Abdollah Khodkar | 3 | 39 | 19.03 |
G. H. John Van Rees | 4 | 46 | 7.64 |