Approximate distance oracles for planar graphs with improved query time-space tradeoff

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We consider approximate distance oracles for edge-weighted n-vertex undirected planar graphs. Given fixed ϵ > 0, we present a (1 + ϵ)-approximate distance oracle with O(n(log log n)2) space and O((loglogr?,)3) query time. This improves the previous best product of query time and space of the oracles of Thorup (FOCS 2001, J. ACM 2004) and Klein (SODA 2002) from O(nlogn) to O(n(loglogn)5).

Original languageEnglish
Title of host publication27th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2016
EditorsRobert Krauthgamer
Number of pages12
PublisherAssociation for Computing Machinery
Publication date2016
Pages351-362
ISBN (Electronic)978-1-61197-433-1
DOIs
Publication statusPublished - 2016
Event27th Annual ACM-SIAM Symposium on Discrete Algorithms - Arlington, United States
Duration: 10 Jan 201612 Jan 2016

Conference

Conference27th Annual ACM-SIAM Symposium on Discrete Algorithms
LandUnited States
ByArlington
Periode10/01/201612/01/2016

ID: 168285424