The index set for the class of irreducible boolean matrices with given period

Shao Jia Yu, Li Qiao · Linear and Multilinear Algebra · 1988

In this paper we consider the index set I n,p for the "indices of convergence" of n×n irreducible boolean matrices with period p, which is a generalization of the exponent set En for the n×n primitive matrices. We exhibit a system of gaps in the index set I n,p and prove that if n=rp+s with 0sp−1, then there are no gaps below for r35.

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