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Selecting a Leader in a Network of Finite State Machines

Authors Yehuda Afek, Yuval Emek, Noa Kolikant

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Author Details

Yehuda Afek
  • Tel Aviv University, Tel Aviv, Israel
Yuval Emek
  • Technion - Israel Institute of Technology, Haifa, Israel
Noa Kolikant
  • Tel Aviv University, Tel Aviv, Israel

Funding

  • Afek, Yehuda: The work of Y. Afek was partially supported by a grant from the Blavatnik Cyber Security Council and the Blavatnik Computer Science Research Fund.
  • Emek, Yuval: The work of Y. Emek was supported in part by an Israeli Science Foundation grant number 1016/17.

Cite As Get BibTex

Yehuda Afek, Yuval Emek, and Noa Kolikant. Selecting a Leader in a Network of Finite State Machines. In 32nd International Symposium on Distributed Computing (DISC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 121, pp. 4:1-4:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/LIPIcs.DISC.2018.4

Abstract

This paper studies a variant of the leader election problem under the stone age model (Emek and Wattenhofer, PODC 2013) that considers a network of n randomized finite automata with very weak communication capabilities (a multi-frequency asynchronous generalization of the beeping model's communication scheme). Since solving the classic leader election problem is impossible even in more powerful models, we consider a relaxed variant, referred to as k-leader selection, in which a leader should be selected out of at most k initial candidates. Our main contribution is an algorithm that solves k-leader selection for bounded k in the aforementioned stone age model. On (general topology) graphs of diameter D, this algorithm runs in O~(D) time and succeeds with high probability. The assumption that k is bounded turns out to be unavoidable: we prove that if k = omega (1), then no algorithm in this model can solve k-leader selection with a (positive) constant probability.

Subject Classification

ACM Subject Classification
  • Theory of computation → Distributed computing models
Keywords
  • stone age model
  • beeping communication scheme
  • leader election
  • k-leader selection
  • randomized finite state machines
  • asynchronous scheduler

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