All-to-All Broadcasting in Faulty Hypercubes

  • Authors:
  • Seungjin Park;Bella Bose

  • Affiliations:
  • Kyonggi Univ., Kyonggi-Do, Korea;Oregon State Univ., Corvallis

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1997

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Abstract

A new fault-tolerant all-to-all broadcasting algorithm in an n-dimensional hypercube with up to $\left\lfloor {{\textstyle{n \over 2}}} \right\rfloor$ faulty links is given. An extension of this algorithm that can tolerate up to $\left\lfloor {{\textstyle{n \over 2}}} \right\rfloor$ faulty nodes is also described. These algorithms assume a multiport I/O model, meaning each node can send and receive messages from all its adjacent nodes simultaneously. The total time steps taken by the proposed algorithms are near optimal, and they produce a factor of n less traffic than previously known algorithms.