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

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 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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Authors
  • Foerster, Klaus-Tycho
  • Hirvonen, Juho
  • Pignolet, Yvonne-Anne
  • Schmid, Stefan
  • Tredan, Gilles
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Supplemental Material
Shortfacts
Category
Paper in Conference Proceedings or in Workshop Proceedings (Paper)
Event Title
34th International Symposium on Distributed Computing, DISC 2020
Divisions
Communication Technologies
Subjects
Theoretische Informatik
Event Location
Freiburg, Germany
Event Type
Conference
Event Dates
12-16 Oct 2020
Series Name
34th International Symposium on Distributed Computing (DISC 2020)
ISSN/ISBN
978-3-95977-168-9
Page Range
46:1-46:3
Date
October 2020
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