Reliable Spanners for Metric Spaces

Sariel Har-Peled, Manor Mendel, Dániel Oláh

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number7
Pages (from-to)7:1-7:27
Number of pages27
JournalACM Transactions on Algorithms
Issue number1
StatePublished - 9 Mar 2023


  • Additional Key Words and PhrasesComputational geometry
  • reliable
  • spanners

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)


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