Hierarchical Time-Dependent Oracles

Abstract

We study networks obeying time-dependent min-cost path metrics, and present novel oracles for them which provably achieve two unique features: % (i) subquadratic preprocessing time and space, independent of the metric's amount of disconcavity; % (ii) sublinear query time, in either the network size or the actual Dijkstra-Rank of the query at hand.

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