Embedding an Incomplete Diagonal Latin Square in a Complete Diagonal Latin Square
暂无分享,去创建一个
A diagonal Latin square of order n can be embedded in a diagonal Latin square of order t if and only if t ⩾ 2 n + 1. An incomplete diagonal Latin square of order n can be embedded in a diagonal Latin square of order, t , if t = 4 n + 4 k , k = 0, 1, 2,..., or t ⩾ 8 n .
[1] H. Ryser. A combinatorial theorem with an application to latin rectangles , 1951 .
[2] Christine Treash. The completion of finite incomplete Steiner triple systems with applications to loop theory , 1971 .
[3] C. Lindner,et al. Embedding partial idempotent Latin squares , 1971 .
[4] T. Evans. Embedding Incomplete Latin Squares , 1960 .
[5] M. Hall. An existence theorem for latin squares , 1945 .