Move Complexity of a Self-Stabilizing Algorithm for Maximal Independent Sets

${\cal A}_\mathsf{deg}$ is a self-stabilizing algorithm that computes a maximal independent set in a finite graph with approximation ratio $(Δ+ 2)/3$. In this note we show that under the central scheduler the number of moves of ${\cal A}_\mathsf{deg}$ is not bounded by a polynomial in $n$.

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