Quotient Networks

John P. Fishburn, Raphael A. Finkel

Research output: Contribution to journalArticlepeer-review

63 Scopus citations


A large-network algorithm solves a problem of size N on a network of N processors. We present a method for transforming certain large networks into quotient networks that emulate those large networks with fewer processors. Large-network algorithms are easily modified to execute on the quotient network. The emulations result in no loss in execution efficiency. Quotient networks allow algorithms to be designed assuming any number of processors and executed efficiently at a great savings in hardware cost.

Original languageEnglish
Pages (from-to)288-295
Number of pages8
JournalIEEE Transactions on Computers
Issue number4
StatePublished - Apr 1982


  • Interconnection networks
  • SIMD computers
  • large problem size/machine size
  • parallel FFT
  • theory of parallel algorithms

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Hardware and Architecture
  • Computational Theory and Mathematics


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