### Abstract

Constrained reconfigurable meshes are one type of parallel computing model which takes the reconfigurability of hardware into account. With these meshes, a practical assumption is given on the communication power such that a signal is propagated through a constant number of processing elements (PEs), say k PEs, at one unit of time. In this paper, we present algorithms for the fundamental problem of computing the sum of multiple integers. For the problem of summing n binary values, we show an optimal O(n/k)-time algorithm on a constrained reconfigurable mesh of size m × n, where m = Θ (log ^{2} k/log log k). For the problem of summing n d-bit integers, we present an O((d + √dmm)/k)-time algorithm on a constrained reconfigurable mesh of size √ dmn × √ dmn.

Original language | English |
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Pages (from-to) | 400-405 |

Number of pages | 6 |

Journal | Proceedings of the International Symposium on Parallel Architectures, Algorithms and Networks, I-SPAN |

Publication status | Published - Dec 1 1999 |

Externally published | Yes |

Event | Proceedings of the 1999 4th International Symposium on Parallel Architectures, Algorithms, and Networks (I-SPAN'99) - Perth/Fremantle, Aust Duration: Jun 23 1999 → Jun 25 1999 |

### ASJC Scopus subject areas

- Computer Science(all)