关于不可约布尔矩阵的传递指数

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关于不可约布尔矩阵的传递指数

更新时间：2026-09-14

本文证明了n阶非本原布尔矩阵的传递指数的上界为1/2(n-2)~2+2(当n为偶数时)和1/2(n-3)~2+ 4(当n为奇数时)

并证明了该上界是可达的。

In this paper

we verify that the upper bound of transitive index for n×n irre- ducible imprimitive matrix is 1/2 (n - 2)

+ 2 when n is even and 1/2 (n-3)2+ 4 when n is odd

and prove that this upper bound is sharp.

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