论文信息 - Latin Squares of Order 10 - 字舞流文

Latin Squares of Order 10

We describe two independent computations of the number of Latin squares of order 10. We also give counts of Latin rectangles with up to 10 columns, and estimates of the number of Latin squares of orders up to 15.

Brendan D. McKay | Eric Rogoyski | B. McKay | Eric Rogoyski

[1] Stanley E. Bammel,et al. The number of 9 × 9 latin squares , 1975, Discrete Mathematics.

[2] Navin M. Singhi,et al. On the Number of Latin Rectangles and Chromatic Polynomial of L(Kr, s) , 1980, Eur. J. Comb..

[3] Brendan D. McKay,et al. Asymptotic enumeration of Latin rectangles , 1990, J. Comb. Theory, Ser. B.

[4] Clement W. H. Lam,et al. On the number of 8×8 latin squares , 1990, J. Comb. Theory, Ser. A.

[5] I. Gessel. Counting Latin rectangles , 1987 .

[6] Jia-Yu Shao,et al. A formula for the number of Latin squares , 1992, Discret. Math..

[7] Mark B. Wells,et al. The number of latin squares of order eight , 1967 .