License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.DISC.2020.46
URN: urn:nbn:de:0030-drops-131244
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/13124/
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Foerster, Klaus-Tycho ; Hirvonen, Juho ; Pignolet, Yvonne-Anne ; Schmid, Stefan ; Tredan, Gilles

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

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LIPIcs-DISC-2020-46.pdf (0.6 MB)


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 [Feigenbaum and others, 2012] 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.

BibTeX - Entry

@InProceedings{foerster_et_al:LIPIcs:2020:13124,
  author =	{Klaus-Tycho Foerster and Juho Hirvonen and Yvonne-Anne Pignolet and Stefan Schmid and Gilles Tredan},
  title =	{{Brief Announcement: What Can(Not) Be Perfectly Rerouted Locally}},
  booktitle =	{34th International Symposium on Distributed Computing (DISC 2020)},
  pages =	{46:1--46:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-168-9},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{179},
  editor =	{Hagit Attiya},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/13124},
  URN =		{urn:nbn:de:0030-drops-131244},
  doi =		{10.4230/LIPIcs.DISC.2020.46},
  annote =	{Keywords: Resilience, Local Failover}
}

Keywords: Resilience, Local Failover
Collection: 34th International Symposium on Distributed Computing (DISC 2020)
Issue Date: 2020
Date of publication: 07.10.2020


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