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arXiv · 1805.02401

Acyclic Strategy for Silent Self-Stabilization in Spanning Forests

Karine Altisen·Stéphane Devismes·Anaïs Durand
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Abstract

In this paper, we formalize design patterns, commonly used in the self-stabilizing area, to obtain general statements regarding both correctness and time complexity guarantees. Precisely, we study a general class of algorithms designed for networks endowed with a sense of direction describing a spanning forest (e.g., a directed tree or a network where a directed spanning tree is available) whose characterization is a simple (i.e., quasi-syntactic) condition. We show that any algorithm of this class is (1) silent and self-stabilizing under the distributed unfair daemon, and (2) has a stabilization time which is polynomial in moves and asymptotically optimal in rounds. To illustrate the versatility of our method, we review several existing works where our results apply.

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Karine Altisen, Stéphane Devismes, Anaïs Durand. 2018-05-07. Acyclic Strategy for Silent Self-Stabilization in Spanning Forests. https://arxiv.org/abs/1805.02401

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