Crisscross Latin Squares
نویسنده
چکیده
A diagonal is said to be complete if every element appears in it exactly once. For n = 2m even, we introduce the concept of a crisscross Latin square which is something in between a diagonal Latin square and a Knut Vik design. A crisscross Latin square is a Latin square such that all the jth right diagonals for even j and all the jth left diagonals for odd j are complete. We show that a necessary and sufficient condition for the existence of a crisscross Latin square of order 2m is that m is even.
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 27 شماره
صفحات -
تاریخ انتشار 1979