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- W2036129488 abstract "A uniquely completable (UC) set U is a subset of a Latin square L such that L is the only superset of U which is a Latin square. A critical set C of L is a subset of L such that C is uniquely completable and no subset of C has this property. We show that there is a symmetric Latin square with fixed main diagonal entries for each even number, and obtain a uniquely completable partial symmetric Latin square of order 2n for each n and prove that, it is critical set for n = 3, 4, 5 and 6, and make a problem." @default.
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- W2036129488 date "2007-01-01" @default.
- W2036129488 modified "2023-09-27" @default.
- W2036129488 title "Critical sets in Latin squares given that they are symmetric" @default.
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- W2036129488 doi "https://doi.org/10.2298/petf0718038m" @default.
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