### Abstract

The following problem is considered: given a linked list of length n, compute the distance from each element of the linked list to the end of the list. The problem has two standard deterministic algorithms: a linear time serial algorithm, and an O(log n) time parallel algorithm using n processors. We present new deterministic parallel algorithms for the problem. Our strongest results are (1) O(log n log* n) time using n/(log n log* n) processors (this algorithm achieves optimal speed-up); (2) O(log n) time using n log^{(k)}n/log n processors, for any fixed positive integer k. The algorithms apply a novel "random-like" deterministic technique. This technique provides for a fast and efficient breaking of an apparently symmetric situation in parallel and distributed computation.

Original language | English (US) |
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Pages (from-to) | 32-53 |

Number of pages | 22 |

Journal | Information and Control |

Volume | 70 |

Issue number | 1 |

DOIs | |

State | Published - Jul 1986 |

### ASJC Scopus subject areas

- Engineering(all)

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## Cite this

*Information and Control*,

*70*(1), 32-53. https://doi.org/10.1016/S0019-9958(86)80023-7