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arXiv · 1611.05616

Self-Stabilizing Maximal Matching and Anonymous Networks

Johanne Cohen·Jonas Lefèvre·Khaled Maâmra·Laurence Pilard·Devan Sohier
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Abstract

We propose a self-stabilizing algorithm for computing a maximal matching in an anonymous network. The complexity is $O(n^3)$ moves with high probability, under the adversarial distributed daemon. In this algorithm, each node can determine whether one of its neighbors points to it or to another node, leading to a contradiction with the anonymous assumption. To solve this problem, we provide under the classical link-register model, a self-stabilizing algorithm that gives a unique name to a link such that this name is shared by both extremities of the link.

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Johanne Cohen, Jonas Lefèvre, Khaled Maâmra, Laurence Pilard, Devan Sohier. 2016-11-17. Self-Stabilizing Maximal Matching and Anonymous Networks. https://arxiv.org/abs/1611.05616

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