Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.06116 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913382717718528 |
|---|---|
| author | Cohen, Johanne Pilard, Laurence Pirot, François Sénizergues, Jonas |
| author_facet | Cohen, Johanne Pilard, Laurence Pirot, François Sénizergues, Jonas |
| contents | We analyze the impact of transient and Byzantine faults on the construction of a maximal independent set in a general network. We adapt the self-stabilizing algorithm presented by Turau `for computing such a vertex set. Our algorithm is self-stabilizing and also works under the more difficult context of arbitrary Byzantine faults.
Byzantine nodes can prevent nodes close to them from taking part in the independent set for an arbitrarily long time. We give boundaries to their impact by focusing on the set of all nodes excluding nodes at distance 1 or less of Byzantine nodes, and excluding some of the nodes at distance 2. As far as we know, we present the first algorithm tolerating both transient and Byzantine faults under the fair distributed daemon.
We prove that this algorithm converges in $ \mathcal O(Δn)$ rounds w.h.p., where $n$ and $Δ$ are the size and the maximum degree of the network, resp. Additionally, we present a modified version of this algorithm for anonymous systems under the adversarial distributed daemon that converges in
$ \mathcal O(n^{2})$ expected number of steps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_06116 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Self-stabilization and byzantine tolerance for maximal independent Cohen, Johanne Pilard, Laurence Pirot, François Sénizergues, Jonas Distributed, Parallel, and Cluster Computing We analyze the impact of transient and Byzantine faults on the construction of a maximal independent set in a general network. We adapt the self-stabilizing algorithm presented by Turau `for computing such a vertex set. Our algorithm is self-stabilizing and also works under the more difficult context of arbitrary Byzantine faults. Byzantine nodes can prevent nodes close to them from taking part in the independent set for an arbitrarily long time. We give boundaries to their impact by focusing on the set of all nodes excluding nodes at distance 1 or less of Byzantine nodes, and excluding some of the nodes at distance 2. As far as we know, we present the first algorithm tolerating both transient and Byzantine faults under the fair distributed daemon. We prove that this algorithm converges in $ \mathcal O(Δn)$ rounds w.h.p., where $n$ and $Δ$ are the size and the maximum degree of the network, resp. Additionally, we present a modified version of this algorithm for anonymous systems under the adversarial distributed daemon that converges in $ \mathcal O(n^{2})$ expected number of steps. |
| title | Self-stabilization and byzantine tolerance for maximal independent |
| topic | Distributed, Parallel, and Cluster Computing |
| url | https://arxiv.org/abs/2210.06116 |