Optimal broadcasting in injured hypercubes using directed safety levels

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


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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@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} }