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The Cartographer
Approximate Distance Oracles for Planar Graphs with Improved Query Time-Space Tradeoff
January 05, 2016 Β· Declared Dead Β· π ACM-SIAM Symposium on Discrete Algorithms
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Authors
Christian Wulff-Nilsen
arXiv ID
1601.00839
Category
cs.DS: Data Structures & Algorithms
Citations
26
Venue
ACM-SIAM Symposium on Discrete Algorithms
Last Checked
3 months ago
Abstract
We consider approximate distance oracles for edge-weighted n-vertex undirected planar graphs. Given fixed epsilon > 0, we present a (1+epsilon)-approximate distance oracle with O(n(loglog n)^2) space and O((loglog n)^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(n log n) to O(n(loglog n)^5).
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