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Communication Efficient Self-Stabilizing Leader Election

Authors Xavier Défago, Yuval Emek, Shay Kutten, Toshimitsu Masuzawa, Yasumasa Tamura

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Author Details

Xavier Défago
  • Tokyo Institute of Technology, Japan
Yuval Emek
  • Technion - Israel Institute of Technology, Haifa, Israel
Shay Kutten
  • Technion - Israel Institute of Technology, Haifa, Israel
Toshimitsu Masuzawa
  • Osaka University, Japan
Yasumasa Tamura
  • Tokyo Institute of Technology, Japan

Funding

The work of X. Défago, T. Masuzawa, and Y. Tamura was supported by JST SICORP Grant Number JPMJSC1606. The work of Y. Emek and S. Kutten was supported by the Israeli Ministry of Science and Technology (MOST) grant number 3-13565 and by the Technion Hiroshi Fujiwara Cyber Security Research Center and the Israel National Cyber Directorate.
  • Masuzawa, Toshimitsu: The work of T. Masuzawa was supported by JSPS KAKENHI Grant Number 19H04085.

Acknowledgements

We are grateful to Valerie King for helpful discussions.

Cite AsGet BibTex

Xavier Défago, Yuval Emek, Shay Kutten, Toshimitsu Masuzawa, and Yasumasa Tamura. Communication Efficient Self-Stabilizing Leader Election. In 34th International Symposium on Distributed Computing (DISC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 179, pp. 11:1-11:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
https://doi.org/10.4230/LIPIcs.DISC.2020.11

Abstract

This paper presents a randomized self-stabilizing algorithm that elects a leader r in a general n-node undirected graph and constructs a spanning tree T rooted at r. The algorithm works under the synchronous message passing network model, assuming that the nodes know a linear upper bound on n and that each edge has a unique ID known to both its endpoints (or, alternatively, assuming the KT₁ model). The highlight of this algorithm is its superior communication efficiency: It is guaranteed to send a total of Õ (n) messages, each of constant size, till stabilization, while stabilizing in Õ (n) rounds, in expectation and with high probability. After stabilization, the algorithm sends at most one constant size message per round while communicating only over the (n - 1) edges of T. In all these aspects, the communication overhead of the new algorithm is far smaller than that of the existing (mostly deterministic) self-stabilizing leader election algorithms. The algorithm is relatively simple and relies mostly on known modules that are common in the fault free leader election literature; these modules are enhanced in various subtle ways in order to assemble them into a communication efficient self-stabilizing algorithm.

Subject Classification

ACM Subject Classification
  • Computer systems organization → Fault-tolerant network topologies
Keywords
  • self-stabilization
  • leader election
  • communication overhead

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Related Versions

  • A full version that contains all missing proofs as well as additional discussions is available at http://arxiv.org/abs/2008.04252 [Xavier Défago et al., 2020].

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