## Abstract

In the context of parallel computing, optical technology offers simple interconnection schemes with straightforward layouts that support complex logical interconnection patterns. The Passive Optical Star (POS) is often suggested as a platform for implementing the optical network: logically it offers an all-to-all broadcast capability. We investigate the self-simulation or scalability properties of the POS. A family of parallel machines is said to be self-simulating or scalable if reducing the number of processors by a factor of k (by going to a smaller member of the family) increases the computation time by a factor of (the optimal) O(k). We present a randomized algorithm for an n-processor POS that simulates a kn-processor POS with a slowdown of O(k + log*n) using local control only, thus coming close to the self-simulation ideal of O(k). We also analyze direct algorithms that send messages directly from their origin to their destination; for this case we prove that Ө(k^{2}) is the exact complexity.

Original language | English |
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Title of host publication | Algorithms - ESA 1995 - 3rd Annual European Symposium, Proceedings |

Editors | Paul Spirakis |

Publisher | Springer Verlag |

Pages | 369-380 |

Number of pages | 12 |

ISBN (Print) | 3540603131, 9783540603139 |

DOIs | |

State | Published - 1995 |

Event | 3rd Annual European Symposium on Algorithms, ESA 1995 - Corfu, Greece Duration: 25 Sep 1995 → 27 Sep 1995 |

### 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 | 979 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 3rd Annual European Symposium on Algorithms, ESA 1995 |
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Country/Territory | Greece |

City | Corfu |

Period | 25/09/95 → 27/09/95 |

### Bibliographical note

Publisher Copyright:© Springer-Verlag Berlin Heidelberg 1995.

## ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science (all)