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arXiv · 1006.3141

Fast Self-Stabilizing Minimum Spanning Tree Construction

Lélia Blin·Shlomi Dolev·Maria Potop-Butucaru·Stephane Rovedakis
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Abstract

We present a novel self-stabilizing algorithm for minimum spanning tree (MST) construction. The space complexity of our solution is $O(\log^2n)$ bits and it converges in $O(n^2)$ rounds. Thus, this algorithm improves the convergence time of all previously known self-stabilizing asynchronous MST algorithms by a multiplicative factor $\Theta(n)$, to the price of increasing the best known space complexity by a factor $O(\log n)$. The main ingredient used in our algorithm is the design, for the first time in self-stabilizing settings, of a labeling scheme for computing the nearest common ancestor with only $O(\log^2n)$ bits.

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Lélia Blin, Shlomi Dolev, Maria Potop-Butucaru, Stephane Rovedakis. 2010-06-16. Fast Self-Stabilizing Minimum Spanning Tree Construction. https://arxiv.org/abs/1006.3141

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