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FOCS

1994

IEEE

1994

IEEE

Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q of points there is a path from p to q of length at most t times the Euclidean distance between p and q. Such a path is called a t-spanner path. The spanner diameter of such a spanner is defined as the smallest integer D such that for any pair p and q of points there is a t-spanner path from p to q containing at most D edges. Randomized and deterministic algorithms are given for constructing t-spanners consisting of O(n) edges and having O(log n) diameter. Also, it is shown how to maintain the randomized t-spanner under random insertions and deletions. Previously, no results were known for spanners with low spanner diameter and for maintaining spanners under insertions and deletions.

Related Content

Added |
27 Aug 2010 |

Updated |
27 Aug 2010 |

Type |
Conference |

Year |
1994 |

Where |
FOCS |

Authors |
Sunil Arya, David M. Mount, Michiel H. M. Smid |

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