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Brief Announcement: What Can(Not) Be Perfectly Rerouted Locally

Abstract : In order to provide a high resilience and to react quickly to link failures, modern computer networks support fully decentralized flow rerouting, also known as local fast failover. In a nutshell, the task of a local fast failover algorithm is to pre-define fast failover rules for each node using locally available information only. Ideally, such a local fast failover algorithm provides a perfect resilience deterministically: a packet emitted from any source can reach any target, as long as the underlying network remains connected. Feigenbaum et al. showed [3] that it is not always possible to provide perfect resilience; on the positive side, the authors also presented an efficient algorithm which achieves at least 1-resilience, tolerating a single failure in any network. Interestingly, not much more is known currently about the feasibility of perfect resilience. This brief announcement revisits perfect resilience with local fast failover, both in a model where the source can and cannot be used for forwarding decisions. By establishing a connection between graph minors and resilience, we prove that it is impossible to achieve perfect resilience on any non-planar graph; On the positive side, we can derive perfect resilience for outerplanar and some planar graphs.
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https://hal.laas.fr/hal-03049117
Contributor : Gilles Tredan <>
Submitted on : Wednesday, December 9, 2020 - 4:50:41 PM
Last modification on : Thursday, June 10, 2021 - 3:06:28 AM
Long-term archiving on: : Wednesday, March 10, 2021 - 7:47:35 PM

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Klaus-Tycho Foerster, Juho Hirvonen, Yvonne-Anne Pignolet, Stefan Schmid, Gilles Tredan. Brief Announcement: What Can(Not) Be Perfectly Rerouted Locally. 34th International Symposium on Distributed Computing (DISC 2020), Oct 2020, Virtual, France. ⟨10.4230/LIPIcs.DISC.2020.46⟩. ⟨hal-03049117⟩

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