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D[X_2m]的下界估计与X_2m 矩阵的快速构造（英文）

The Lower-bound Estimate of D[X_2m] and Fast Construction of Matrix X_2m

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【Author】 ZHENG Yu ge 1,LI Zi_hao 2 (1.Department of Mathematics, Jiaozuo Institute of Technology, Jiaozuo 454000, China; 2.Computer Center of Henan Province, Zhengzhou 450000,China)

【机构】焦作工学院数学系!河南焦作454000；河南省计算中心!河南郑州450000；

【摘要】本文利用有向图理论研究了Xn 矩阵的特性 ,给出了X2m 矩阵类的快速构造方法 ,证明了拉丁方矩阵D[X2m]数目的下界估计是 :2m(2m) !+∑mi=2[(2m) !]2∏ij =1Kj!∏rj=1bj!.更多还原

【Abstract】 In this paper, the character matrix x n is studied, fast construction method of matrix X 2m is provided. And it is proved that the lower bound estimate of the number of an Latin squares matrix D[X m] is2m(2m)!+∑mi=2[(2m)!] 2∏ij=1K j!∏rj=1b j!.更多还原