HyperTree for Self-Stabilizing Peer-to-Peer Systems

  • Authors:
  • Shlomi Dolev;Ronen I. Kat

  • Affiliations:
  • Ben-Gurion University, Israel;Ben-Gurion University, Israel

  • Venue:
  • NCA '04 Proceedings of the Network Computing and Applications, Third IEEE International Symposium
  • Year:
  • 2004

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Abstract

Peer-to-peer systems are prone to faults, thus it is vitally important to design peer-to-peer systems to automatically regain consistency, namely to be self-stabilizing.Toward this goal, we present a deterministic structure that defines for every n the entire (IP) pointers structure among the nmachines.Namely, the next hop for the insert, delete and search procedures of the peer-to-peer system.Thus, the consistency of the system is easily defined, monitored, verified and repaired. We present the HyperTree (distributed) structure which support the peer-to-peer procedures while ensuring that the out-degree and in-degree (the number of outgoing/incoming pointers) are b\log _b N where N in the maximal number of machines and b is an integer parameter greater than 1.In addition the HyperTree ensures that the maximal number of hops involved in each procedure is bounded by b\log _b N. A self-stabilizing peer-to-peer system based on the HyperTree is presented.