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A broadcasting algorithm on the arrangement graph

  • Leqiang Bai
  • Peter M. Yamakawa
  • Hiroyuki Ebara
  • Hideo Nakano
Session 8B: Distributed Computing
Part of the Lecture Notes in Computer Science book series (LNCS, volume 959)

Abstract

In this paper, we propose a distributed algorithm for one-to-all broadcasting on the arrangement graph. The algorithm exploits the rich topological properties of the (n, k)-arrangement graph to constitute the broadcasting binary tree and works recursively. When faulty links are encountered, the concepts of node-disjoint paths and virtual paths are used to deal with the broadcasting procedure. It is shown that the message can be broadcast to all n!/(n−k)! processors in O(k lg n) steps for fault-free mode, and in O(k(k+lg n)) for less than k(n−k)−1 faulty links.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Leqiang Bai
    • 1
  • Peter M. Yamakawa
    • 1
  • Hiroyuki Ebara
    • 2
  • Hideo Nakano
    • 3
  1. 1.Faculty of EngineeringOsaka UniversityOsakaJapan
  2. 2.Faculty of EngineeringKansai UniversityOsakaJapan
  3. 3.Osaka City UniversityOsakaJapan

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