An optimal dynamic spanner for doubling metric spaces

Lee Ad Gottlieb, Liam Roditty

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

55 Scopus citations

Abstract

A t-spanner is a graph on a set of points S with the following property: Between any pair of points there is a path in the spanner whose total length is at most t times the actual distance between the points. In this paper, we consider points residing in a metric space equipped with doubling dimension λ, and show how to construct a dynamic (1 + ε)-spanner with degree ε-O(λ) in O( log n/εO(λ))update time. When λ and ε are taken as constants, the degree and update times are optimal.

Original languageEnglish
Title of host publicationAlgorithms - ESA 2008 - 16th Annual European Symposium, Proceedings
Pages478-489
Number of pages12
DOIs
StatePublished - 2008
Externally publishedYes
Event16th Annual European Symposium on Algorithms, ESA 2008 - Karlsruhe, Germany
Duration: 15 Sep 200817 Sep 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5193 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference16th Annual European Symposium on Algorithms, ESA 2008
Country/TerritoryGermany
CityKarlsruhe
Period15/09/0817/09/08

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