A NOTE ON THE CONSTRUCTION OF LARGE SET OF LATIN SQUARES WITH ONE ENTRY IN COMMON

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CHIN-MEI FU

Abstract




A latin square of order $n$ is an $n \times n$ array such that each of the integers $1, 2, 3, \cdots, n$ occurs exactly once in each row and each column. A large set of latin squares of order $n$ having only one entry in common is a maximum set of latin squares of order $n$ such that each pair of them contains exactly one fixed entry in common. In this paper, we prove that a large set of latin squares of order $n$ having only one entry in common has $n - 1$ latin squares for each positive integer $n$, $n \ge 4$.




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How to Cite
FU, C.-M. (1993). A NOTE ON THE CONSTRUCTION OF LARGE SET OF LATIN SQUARES WITH ONE ENTRY IN COMMON. Tamkang Journal of Mathematics, 24(2), 215–220. https://doi.org/10.5556/j.tkjm.24.1993.4492
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Papers

References

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