摘要
运用强连通有向图的参数ｍ（Ａ）确定出对称且周期为２的ｎ（＞２）阶不可约布尔矩阵的幂敛指数集和最大密度指数集．
In this paper we use the parameter m(A) of the strongly connected digraph to determine the set K of indices of convergence and the set H of indices of maximum density for the class of n×n symmetric irreducible Boolean matrix with given period 2. The main results are the following:(1)n(>2) is even or odd, however , we always have K=1,2,…,n-2;(2)if n(>2) is even, then H=1,2,…,n-2; (3) if n(>2) is odd ,then H=m∶2≤m≤n-1 and m is even.
出处
《海南大学学报（自然科学版）》
CAS
1998年第4期295-299,共5页
Natural Science Journal of Hainan University
关键词
布尔矩阵
幂敛指数
最大密度指数
对称矩阵
irreducible Boolean matrix
index of convergence
index of maximum density
accompany digraph
