### Abstract

We show that any arithmetic expression of size n can be evaluated on an EREW PRAM with O(n/log n) processors in O (log n) steps. A major contribution is the simplicity of the algorithm. In contrast with existing algorithms which require independent RAKE and COMPRESS operations, our algorithm combines the RAKE and COMPRESS into one simple operation. In fact, our algorithm can be viewed as avoiding COMPRESSes entirely and simply performing RAKEs. The algorithm can be modified easily to evaluate every subexpression of the original arithmetic expression. We also show how it can be applied to the following problem: Given a positive constant λ and a tree with weighted nodes, partition the tree into minimal components subject to the constraint that the sum of the node weights in each component is at least λ.

Original language | English (US) |
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Title of host publication | VLSI Algorithms and Architectures - 3rd Aegean Workshop on Computing, AWOC 1988, Proceedings |

Publisher | Springer Verlag |

Pages | 101-110 |

Number of pages | 10 |

Volume | 319 LNCS |

ISBN (Print) | 9780387968186 |

DOIs | |

State | Published - Jan 1 1988 |

Event | 3rd Aegean Workshop on Computing: VLSI Algorithms and Architectures, AWOC 1988 - Corfu, Greece Duration: Jun 28 1988 → Jul 1 1988 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 319 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 3rd Aegean Workshop on Computing: VLSI Algorithms and Architectures, AWOC 1988 |
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Country | Greece |

City | Corfu |

Period | 6/28/88 → 7/1/88 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*VLSI Algorithms and Architectures - 3rd Aegean Workshop on Computing, AWOC 1988, Proceedings*(Vol. 319 LNCS, pp. 101-110). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 319 LNCS). Springer Verlag. https://doi.org/10.1007/BFb0040378