Gossiping to reach consensus

Bogdan S. Chlebus, Dariusz R. Kowalski

Research output: Contribution to conferencePaper

17 Scopus citations

Abstract

We consider the problem of gossiping when dynamic node crashes are controlled by adaptive adversaries. We develop gossiping algorithms which are efficient with respect to both the time and communication measured as the number of point-to-point messages. If the adversary is allowed to fail up to t nodes, among the total of n, where additionally n-t = Ω(n/polylog n), then one among our algorithms completes gossiping in time O(log2 t) and with O(n polylog t) messages. We prove a lower bound which states that the time has to be at least Ω(log(n log n)-log t/log n) if the communication is restricted to be O(n polylog n). We also show that one can solve efficiently a more demanding consensus problem with crash failures by resorting to one of our gossiping algorithms. If the adversary is allowed to fail t nodes, where n - t = Ω(n/polylog n), we obtain a time-optimal solution that is away from the communication optimality by at most a polylogarithmic factor.

Original languageEnglish (US)
Pages220-229
Number of pages10
StatePublished - Jan 1 2002
Externally publishedYes
EventFourteenth Annual ACM Symposium on Parallel Algorithms and Architectures - Winnipeg, MAN., Canada
Duration: Aug 10 2002Aug 13 2002

Conference

ConferenceFourteenth Annual ACM Symposium on Parallel Algorithms and Architectures
CountryCanada
CityWinnipeg, MAN.
Period8/10/028/13/02

Keywords

  • Adaptive adversary
  • Consensus
  • Distributed algorithm
  • Gossiping
  • Lower bound
  • Processor failures

ASJC Scopus subject areas

  • Software
  • Safety, Risk, Reliability and Quality

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  • Cite this

    Chlebus, B. S., & Kowalski, D. R. (2002). Gossiping to reach consensus. 220-229. Paper presented at Fourteenth Annual ACM Symposium on Parallel Algorithms and Architectures, Winnipeg, MAN., Canada.