非空集合M_r(R,S)的性质

广东工业大学学报 ›› 2000, Vol. 17 ›› Issue (3): 64-67.

非空集合M_r(R,S)的性质

广东工业大学数理系!广东广州510090；

出版日期:2000-09-13 发布日期:2000-09-13

The Characteristics of the Nonempty Class M_r(R,S)

(Dept.of Mathematics and Physics,GDUT,Guangzhou,510090)

Online:2000-09-13 Published:2000-09-13

摘要/Abstract

摘要： 设Mr(R ,S)是所有具有指定行和向量R与列和向量S的 (0 ,1 ,… ,r)—矩阵组成的集合 .本文研究Mr(R ,S)非空时向量R与S之间的关系 .

侯素梅； . 非空集合M_r(R,S)的性质[J]. 广东工业大学学报, 2000, 17(3): 64-67.

Hou Su mei . The Characteristics of the Nonempty Class M_r(R,S)[J]. Journal of Guangdong University of Technology, 2000, 17(3): 64-67.

[1] Brualdi R A,Michael T S.The class of matrices of zeros, ones and twos with prescribed row and column sums. Linear Algebra and Its Applications . 1989

[2] Brualdi R A.Matrices of zeros and ones with fixed row and column sum vectors. Linear Algebra and Its Applications . 1980

[3] Anstee R P.Network flows approach for matrices with given row and column sums. Discrete Mathematics . 1983

[4] Mirsky L.Combinatorial theorems and integral matrices. Journal of Combinatorial Theory . 1968

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