Reliable Spanners for Metric Spaces

Sariel Har-Peled; Manor Mendel; Dániel Oláh

doi:https://doi.org/10.1145/3563356

Reliable Spanners for Metric Spaces

Sariel Har-Peled, Manor Mendel, Dániel Oláh

Computer Science

Open University of Israel

Research output: Contribution to journal › Article › peer-review

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. In other words, 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.

Original language	English
Article number	7
Pages (from-to)	7:1-7:27
Number of pages	27
Journal	ACM Transactions on Algorithms
Volume	19
Issue number	1
DOIs	https://doi.org/10.1145/3563356
State	Published - 9 Mar 2023

Keywords

Additional Key Words and PhrasesComputational geometry
reliable
spanners

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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https://doi.org/10.1145/3563356

https://dblp.org/rec/journals/talg/HarPeledMO23

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Reliable Spanners for Metric Spaces

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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