摘要
正则(0,1)矩阵是具有固定线和的(0,1)矩阵,为了更好的了解正则(0,1)矩阵的组合性质,研究了正则(0,1)矩阵的行并存数问题,给出了正则(0,1)矩阵行并存数的上下界,说明了在某些情形下该上界是精确的.此外,确定了行并存数为1的正则(0,1)矩阵类的行列式与奇异值.
A regular （0, 1）-matrix is a （0, 1）-matrix which has constant line sums. In order to better understand the combinatorial properties of regular（0,1）-matrices, the row coincidence number problem of regular（0,1）- matrices is studied, upper and lower bounds for the row coincidence number of regular（0,1）-matrices are given, which shows that the upper bound is precise in some cases. Moreover, the determinants and singular values of the regular classes of （0, 1）-matrices are determined whose row coincidence numbers are 1.
出处
《江西理工大学学报》
CAS
2017年第1期88-91,共4页
Journal of Jiangxi University of Science and Technology
基金
国家自然科学基金资助项目(11661041)
江西省自然科学基金资助项目(20161BAB211016)
江西省教育厅科技项目(GJJ150645)
关键词
正则(0
1)矩阵
行并存数
上下界
行列式
regular （0, 1）-matrix
row coincidence number
upper and lower bound
determinant
