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The set of stable indices of 0-1 matrices with a given order

Published 2 Nov 2021 in math.CO | (2111.01670v3)

Abstract: The stable index of a 0-1 matrix $A$ is defined to be the smallest integer $k$ such that $A{k+1}$ is not a 0-1 matrix if such an integer exists; otherwise the stable index of $A$ is defined to be infinity. We characterize the set of stable indices of 0-1 matrices with a given order.

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