摘要
设A是一个周期为p的n×n不可约布尔矩阵,[3]中定义了A的广义最大密度指数hA(k).令DISF(k)={hA(k)|A∈FIMn},其中FIMn是所有n×n完全不可分解矩阵的集合,本文证明了DISF(k)={1,2,…,n-1}.
Let A be an n×n irreducible Boolean matrix with period p . In [1], the generalized maximum density index h A(k) is defined. Let DIS F(k)={h A(k)|A∈ FIM n} , where FIM n is the set of all n×n full indecomposable matrices. In this paper,we show that DIS F(k)={1,2,…,n-1} .
出处
《徐州师范大学学报(自然科学版)》
CAS
2000年第1期7-9,共3页
Journal of Xuzhou Normal University(Natural Science Edition)