Skip to Main content Skip to Navigation
Conference papers

Self-Stabilizing Leader Election in Polynomial Steps

Abstract : We propose a silent self-stabilizing leader election algorithm for bidirectional connected identified networks of arbitrary topology. This algorithm is written in the locally shared memory model. It assumes the distributed unfair daemon, the most general scheduling hypothesis of the model. Our algorithm requires no global knowledge on the network (such as an upper bound on the diameter or the number of processes, for example). We show that its stabilization time is in Θ(n^3) steps in the worst case, where n is the number of processes. Its memory requirement is asymptotically optimal, i.e., Θ(log n) bits per processes. Its round complexity is of the same order of magnitude — i.e., Θ(n) rounds — as the best existing algorithm (Datta et al, 2011) designed with similar settings. To the best of our knowledge, this is the first self-stabilizing leader election algorithm for arbitrary identified networks thatis proven to achieve a stabilization time polynomial in steps. By contrast, we show that the previous best existing algorithm designed with similar settings (Datta et al, 2011) stabilizes in a non polynomial number of steps in the worst case.
Document type :
Conference papers
Complete list of metadatas

Cited literature [23 references]  Display  Hide  Download
Contributor : Anaïs Durand <>
Submitted on : Thursday, February 12, 2015 - 10:22:29 AM
Last modification on : Friday, January 8, 2021 - 5:46:03 PM
Long-term archiving on: : Sunday, April 16, 2017 - 8:21:47 AM


Files produced by the author(s)



Karine Altisen, Alain Cournier, Stéphane Devismes, Anaïs Durand, Franck Petit. Self-Stabilizing Leader Election in Polynomial Steps. SSS'2014, 16th International Symposium on Stabilization, Safety, and Security of Distributed Systems, Sep 2014, Paderborn, Germany. pp.106-119, ⟨10.1007/978-3-319-11764-5_8⟩. ⟨hal-00980798v4⟩



Record views


Files downloads