A dilated-diagonal-based scheme for broadcast in a wormhole-routed 2D torus

Yu-Chee Tseng*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


The one-to-all broadcast is the most primary operation in a multicomputer network. In this paper, we consider this problem in a wormhole-routed 2D torus network which provides the dimension-ordered routing and all-port communication capability. With the distance-insensitive characteristic of wormhole routing, we model the broadcast as a sequence of communication phases. We propose a novel scheme to solve this problem. The scheme requires at most two communication phases more than the optimal number of phases when the torus is square, or at most four or five communication phases more than optimum when the torus is nonsquare. The best known results, as compared to ours, can only be applied to square tori of very restricted network sizes and either rely on an undesirable non-dimension-ordered routing or require more numbers of phases.

Original languageEnglish
Pages (from-to)947-952
Number of pages6
JournalIEEE Transactions on Computers
Issue number8
StatePublished - 1 Dec 1997


  • Collective communication
  • Dimension-ordered (or e-cube) routing
  • Interconnection network
  • One-to-all broadcast
  • Parallel computing
  • Torus
  • Wormhole routing

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