Distance Oracles for Sparse Graphs

Abstract

Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer k, they showed an efficient algorithm to construct an approximate distance oracle using space O(kn^{1+1/k}) that can answer queries in time O(k) with a distance estimate that is at most 2k-1… (More)
DOI: 10.1109/FOCS.2009.27

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