Document Open Access Logo

Simple and Efficient Leader Election

Authors Petra Berenbrink, Dominik Kaaser, Peter Kling, Lena Otterbach



PDF
Thumbnail PDF

File

OASIcs.SOSA.2018.9.pdf
  • Filesize: 0.55 MB
  • 11 pages

Document Identifiers

Author Details

Petra Berenbrink
Dominik Kaaser
Peter Kling
Lena Otterbach

Cite AsGet BibTex

Petra Berenbrink, Dominik Kaaser, Peter Kling, and Lena Otterbach. Simple and Efficient Leader Election. In 1st Symposium on Simplicity in Algorithms (SOSA 2018). Open Access Series in Informatics (OASIcs), Volume 61, pp. 9:1-9:11, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018)
https://doi.org/10.4230/OASIcs.SOSA.2018.9

Abstract

We provide a simple and efficient population protocol for leader election that uses O(log n) states and elects exactly one leader in O(n (log n)^2) interactions with high probability and in expectation. Our analysis is simple and based on fundamental stochastic arguments. Our protocol combines the tournament based leader elimination by Alistarh and Gelashvili, ICALP'15, with the synthetic coin introduced by Alistarh et al., SODA'17.
Keywords
  • population protocols
  • leader election
  • distributed
  • randomized

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads

References

  1. Dan Alistarh, James Aspnes, David Eisenstat, Rati Gelashvili, and Ronald L. Rivest. Time-Space Trade-offs in Population Protocols. In Proc. SODA, pages 2560-2579, 2017. Google Scholar
  2. Dan Alistarh, James Aspnes, and Rati Gelashvili. Space-optimal majority in population protocols. CoRR, abs/1704.04947, 2017. Google Scholar
  3. Dan Alistarh and Rati Gelashvili. Polylogarithmic-Time Leader Election in Population Protocols. In Proc. ICALP, pages 479-491, 2015. Google Scholar
  4. Dana Angluin, James Aspnes, Zoë Diamadi, Michael J. Fischer, and René Peralta. Computation in networks of passively mobile finite-state sensors. Distributed Computing, 18(4):235-253, 2006. Google Scholar
  5. Dana Angluin, James Aspnes, and David Eisenstat. Stably Computable Predicates Are Semilinear. In Proc. PODC, pages 292-299, New York, NY, USA, 2006. Google Scholar
  6. Dana Angluin, James Aspnes, David Eisenstat, and Eric Ruppert. The computational power of population protocols. Distributed Computing, 20(4):279-304, 2007. Google Scholar
  7. Andreas Bilke, Colin Cooper, Robert Elsässer, and Tomasz Radzik. Population protocols for leader election and exact majority with O(log² n) states and O(log² n) convergence time. CoRR, abs/1705.01146, 2017. Google Scholar
  8. David Doty and David Soloveichik. Stable leader election in population protocols requires linear time. CoRR, abs/1502.04246, 2015. Google Scholar
  9. Leszek Gasieniec and Grzegorz Stachowiak. Fast Space Optimal Leader Election in Population Protocols. CoRR, abs/1704.07649, 2017. Google Scholar
  10. Richard Karp, Christian Schindelhauer, Scott Shenker, and Berthold Vöcking. Randomized Rumor Spreading. In Proc. FOCS, pages 565-574, 2000. Google Scholar
  11. Michael Mitzenmacher and Eli Upfal. Probability and Computing: Randomized Algorithms and Probabilistic Analysis. Cambridge University Press, 2005. Google Scholar
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail