Physical expander in Virtual Tree Overlay

Abstract : In this paper, we propose a new construction of constantdegree expanders motivated by their application in P2P overlay networks and in particular in the design of robust trees overlay. Our key result can be stated as follows. Consider a complete binary tree T and construct a random pairing Π between leaf nodes and internal nodes. We prove that the graph GΠ obtained from T by contracting all pairs (leaf-internal nodes) achieves a constant node expansion with high probability. The use of our result in improving the robustness of tree overlays is straightforward. That is, if each physical node participating to the overlay manages a random pair that couples one virtual internal node and one virtual leaf node then the physical-node layer exhibits a constant expansion with high probability. We encompass the difficulty of obtaining this random tree virtualization by proposing a local, selforganizing and churn resilient uniformly-random pairing algorithm with O(log2 n) running time. Our algorithm has the merit to not modify the original tree virtual overlay (we just control the mapping between physical nodes and virtual nodes). Therefore, our scheme is general and can be applied to a large number of tree overlay implementations. We validate its performances in dynamic environments via extensive simulations.
Liste complète des métadonnées

Littérature citée [19 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00569098
Contributeur : Maria Potop-Butucaru <>
Soumis le : jeudi 24 février 2011 - 14:12:38
Dernière modification le : jeudi 11 janvier 2018 - 06:20:06
Document(s) archivé(s) le : jeudi 30 juin 2011 - 13:52:40

Fichiers

robust-tree.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : inria-00569098, version 1
  • ARXIV : 1102.4981

Collections

Citation

Taisuke Izumi, Maria Potop-Butucaru, Mathieu Valero. Physical expander in Virtual Tree Overlay. 2011. 〈inria-00569098〉

Partager

Métriques

Consultations de la notice

342

Téléchargements de fichiers

184