摘要
本文考虑具有周期为p的n阶不可约布尔矩阵的传递指数集Tn,p(1)给出Tn、p的一个空隙,(2)证明了若n=pr+s,0≤s≤p-1,则当r>1时,当r≥35时,其中当s=0时ω=0,否则ω=1。(3)给出对称非本原布尔矩阵的传递指数集STn,2={m|2≤m≤n-1且m为偶数}。
In this paper we consider the transitive index set Tn,p for n×n irre-ducible boolean mat rices with period p.(1) We show a gaps in the transitive index set Tn,p.(2) We obtain that if n=pr+s with 0≤s≤P-1 then for r>1,where ω=0 when s=0, else ω=1.(3) We give the transitive index set for symmetric irreducible imprimitive ma-trices STn,2={m|2≤m≤n-1,m is even}.