C. St. J. A. Nash-Williams

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A double latin square of order 2n on symbols s1;y; sn is a 2n 2n matrix A 1⁄4 ðaijÞ in which each aij is one of the symbols s1;y; sn and each sk occurs twice in each row and twice in each column. For k 1⁄4 1;y; n let BðA; skÞ be the bipartite graph with vertices r1;y; r2n; c1;y; c2n and 4n edges 1⁄2ri; cj corresponding to ordered pairs ði; jÞ such that aij(More)