摘要
对拉丁方的概念进行推广，把构成拉丁方的二维矩阵提升到三维，引入了拉丁立方及相关概念；并给出了进行ｎ 阶规范拉丁立方的计数与合痕分类的算法；利用此算法，得出１ 至５
Latin cube and relative definitions by extending the corresponding ones of Latin square are introduced. The two dimension matrix of Latin square is prompted to three dimension matrix of Latin cube. The relative algorithms used to enumerate the set of normal Latin cubes of order n(n≤5) and to classify the isotopy classes of the set of Latin cubes of order n(n ≤5) are given. Using the algorithms, we get the following results:a. There are 1,1,1,64 and 40 246 normal Latin cubes of order 1,2,3,4 and 5, respectively;b. There are 1,1,1,15 and 479 isotopy classes of Latin cubes of order 1,2,3,4 and 5, respectively.
出处
《华中理工大学学报》
CSCD
北大核心
1999年第11期104-106,共3页
Journal of Huazhong University of Science and Technology
