### Abstract

We study sublinear time complexity and algorithm to approximate the diameter for a sequence S∈=∈p _{1} p _{2}∈ ⋯∈p _{n} of points in a metric space, in which every pair of two consecutive points p _{i} and p _{i∈+∈1} in the sequence S has the same distance. The diameter of S is the largest distance between two points p _{i} and p _{j} in S. The approximate diameter problem is investigated under deterministic, zero error randomized, and bounded error randomized models. We obtain a class of separations about the sublinear time computations using various versions of the approximate diameter problem based on the restriction about the format of input data.

Original language | English (US) |
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Title of host publication | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Pages | 79-88 |

Number of pages | 10 |

Volume | 5165 LNCS |

DOIs | |

Publication status | Published - 2008 |

Event | 2nd International Conference on Combinatorial Optimization and Applications, COCOA 2008 - St. John's, NL, Canada Duration: Aug 21 2008 → Aug 24 2008 |

### 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 | 5165 LNCS |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | 2nd International Conference on Combinatorial Optimization and Applications, COCOA 2008 |
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Country | Canada |

City | St. John's, NL |

Period | 8/21/08 → 8/24/08 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science(all)
- Biochemistry, Genetics and Molecular Biology(all)
- Theoretical Computer Science

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*(Vol. 5165 LNCS, pp. 79-88). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5165 LNCS). https://doi.org/10.1007/978-3-540-85097-7_8