Stable roommates spanner

Prosenjit Bose, Paz Carmi, Lilach Chaitman-Yerushalmi, Sébastien Collette, Matthew J. Katz, Stefan Langerman

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We introduce a new geometric spanner whose construction is based on a generalization of the known Stable Roommates problem. The Stable Roommates Spanner combines the most desirable properties of geometric spanners: a natural definition, small degree, linear number of edges, strong (1+ε)-spanner for every ε>0, and an efficient construction algorithm. It is an improvement over the well-known Yao graph and Θ-graph and their variants. We show how to construct such a spanner for a set of points in the plane in O(n log10n) expected time. We introduce a variant of the Stable Roommates Spanner called the Stable Roommates Θ-Spanner which we can generalize to higher dimensions and construct more efficiently in O(n logdn) time. This variant possesses all the properties of the Stable Roommates Spanner except that it is no longer a strong spanner.

Original languageEnglish
Pages (from-to)120-130
Number of pages11
JournalComputational Geometry: Theory and Applications
Issue number2
StatePublished - 1 Feb 2013


  • Geometric spanners
  • Stable Roommates
  • Yao graph
  • Θ-graph

ASJC Scopus subject areas

  • Computer Science Applications
  • Geometry and Topology
  • Control and Optimization
  • Computational Theory and Mathematics
  • Computational Mathematics


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