Abstract
We present necessary and sufficient conditions for the embedding of a given incomplete latin square R of side n, n⩾10 on the symbols σ 1,…,σ t in a latin square T of side t on the symbols σ 1,…,σ t for all t⩾2 n+1 where the diagonal of T has been prescribed. The lower bound of 2 n+1 for t is the best possible.
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