SKIP+: A self-stabilizing skip graph

Riko Jacob, Andrea Richa, Christian Scheideler, Stefan Schmid, Hanjo Täubig

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


Peer-to-peer systems rely on a scalable overlay network that enables efficient routing between its members. Hypercubic topologies facilitate such operations while each node only needs to connect to a small number of other nodes. In contrast to static communication networks, peer-to-peer networks allow nodes to adapt their neighbor set over time in order to react to join and leave events and failures. This article shows how to maintain such networks in a robust manner. Concretely, we present a distributed and self-stabilizing algorithm that constructs a (slightly extended) skip graph, SKIP+, in polylogarithmic time from any given initial state in which the overlay network is still weakly connected. This is an exponential improvement compared to previously known self-stabilizing algorithms for overlay networks. In addition, our algorithm handles individual joins and leaves locally and efficiently.

Original languageEnglish (US)
Pages (from-to)1-26
Number of pages26
JournalJournal of the ACM
Issue number6
StatePublished - Nov 1 2014


  • Churn
  • Distributed algorithms
  • Distributed systems
  • Graph theory
  • Overlay networks
  • Peer-topeer systems
  • Performance
  • Robustness
  • Self-stabilization

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Information Systems
  • Hardware and Architecture
  • Artificial Intelligence


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