The complexity of data reduction on a reconfigurable linear array

Yosi Benasher, A. Schuster

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the basic problem of gathering information dispersed among the nodes of a reconfigurable linear array. An upper and a matching lower bound are obtained for data-reduction operations, including, for example, the computation of several independent sums of input sets which are each given at a network node. Simulations of linear arrays by other networks are presented, thus applying linear array algorithms as upper bounds for these networks, too. The complexity analysis introduces a novel criteria for the efficiency of reconfigurable network algorithms, namely the bus-usage. The bus-usage measures the utilization of the network communication links by the algorithm. The analysis show that there is a trade-off between the running time of an algorithm and its bus-usage.

Original languageEnglish
Pages (from-to)322-357
Number of pages36
JournalJournal of Algorithms
Volume18
Issue number2
DOIs
StatePublished - Mar 1995

ASJC Scopus subject areas

  • Control and Optimization
  • Computational Mathematics
  • Computational Theory and Mathematics

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