## 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 language | English |
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Pages (from-to) | 322-357 |

Number of pages | 36 |

Journal | Journal of Algorithms |

Volume | 18 |

Issue number | 2 |

DOIs | |

State | Published - Mar 1995 |

## ASJC Scopus subject areas

- Control and Optimization
- Computational Mathematics
- Computational Theory and Mathematics