A result on generalized latin rectangles

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Abstract

An alternative and simpler proof of the following result is given: Every rxs generalized partial latin rectangle Q on A={1,2,...,k} can be extended to an nxn generalized latin square on A if and only if nr+s-min{N(i)¦iϵA}, where N(i) denotes the number of times that the symbol i appears in Q.

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