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arXiv · 1305.3314

Approximate Distance Oracle with Constant Query Time

Shiri Chechik
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Abstract

An approximate distance oracle is a succinct data structure that provides fast answers to distance queries between any two nodes. In this paper we consider approximate distance oracles for general undirected graphs with non-negative edge weights with constant query time. We present a distance oracle of size O(k n^{1+1/k}), with 2k-1 stretch and O(1) query time. This improves the O(log{k}) query time of Wulff-Nilsen's distance oracle [SODA '13], which in turn improved the O(k) query time of Thorup and Zwick's distance oracle [J. ACM '05].

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Shiri Chechik. 2013-05-14. Approximate Distance Oracle with Constant Query Time. https://arxiv.org/abs/1305.3314

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