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URN: urn:nbn:de:0030-drops-138423
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Reliable Spanners for Metric Spaces

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Abstract

A spanner is reliable if it can withstand large, catastrophic failures in the network. More precisely, any failure of some nodes can only cause a small damage in the remaining graph in terms of the dilation, that is, the spanner property is maintained for almost all nodes in the residual graph. Constructions of reliable spanners of near linear size are known in the low-dimensional Euclidean settings. Here, we present new constructions of reliable spanners for planar graphs, trees and (general) metric spaces.

BibTeX - Entry

@InProceedings{harpeled_et_al:LIPIcs.SoCG.2021.43,
  author =	{Har-Peled, Sariel and Mendel, Manor and Ol\'{a}h, D\'{a}niel},
  title =	{{Reliable Spanners for Metric Spaces}},
  booktitle =	{37th International Symposium on Computational Geometry (SoCG 2021)},
  pages =	{43:1--43:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-184-9},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{189},
  editor =	{Buchin, Kevin and Colin de Verdi\`{e}re, \'{E}ric},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/13842},
  URN =		{urn:nbn:de:0030-drops-138423},
  doi =		{10.4230/LIPIcs.SoCG.2021.43},
  annote =	{Keywords: Spanners, reliability}
}

Keywords: Spanners, reliability
Seminar: 37th International Symposium on Computational Geometry (SoCG 2021)
Issue date: 2021
Date of publication: 02.06.2021


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