Optimal broadcasting in injured hypercubes using directed safety levels

  • Jie Wu
  • Published 2001 in J. Parallel Distrib. Comput.

Abstract

Reliable communication in injured hypercubes with faulty links nodes using directed safety levels is studied in this paper In this approach each node u in an n dimensional hypercube n cube is associated with a sequence of directed safety levels A directed safety level asso ciated with node u is an approximated measure of broadcast capability of performing optimal broadcasting from u in an n subcube containing u By optimal broadcasting we mean that the broadcast message reaches each destination through a shortest path i e the length of each path is equal to the Hamming distance between the source and destination Directed safety levels are based on a special coding scheme generalized from Wu s safety level model and are calculated through n rounds of information exchanges and updates among neighboring nodes In this model fault information of nodes within distance d is precisely represented to better capture link faults whereas fault information of nodes outside distance d is approximated as in the regular safety level model Optimal broadcasting at node u is guaranteed if node u is globally safe which is de ned in terms of the directed safety levels associated with u The directed safety level model with d or d has the same asymptotic complexity as the reg ular safety level model Simulation results show a signi cant improvement in terms of optimal broadcast capability in injured hypercubes This work was supported in part by NSF grants CCR and ANI

DOI: 10.1016/S0743-7315(03)00065-0

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Cite this paper

@article{Wu2001OptimalBI, title={Optimal broadcasting in injured hypercubes using directed safety levels}, author={Jie Wu}, journal={J. Parallel Distrib. Comput.}, year={2001}, volume={63}, pages={815-826} }