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Communication Dans Un Congrès Année : 2020

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

Klaus-Tycho Foerster
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Juho Hirvonen
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Yvonne-Anne Pignolet
Stefan Schmid
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Résumé

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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Dates et versions

hal-03049117 , version 1 (09-12-2020)

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Klaus-Tycho Foerster, Juho Hirvonen, Yvonne-Anne Pignolet, Stefan Schmid, Gilles Trédan. 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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