English

Hierarchical Time-Dependent Oracles

Data Structures and Algorithms 2016-07-04 v4

Abstract

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

Cite

@article{arxiv.1502.05222,
  title  = {Hierarchical Time-Dependent Oracles},
  author = {Spyros Kontogiannis and Dorothea Wagner and Christos Zaroliagis},
  journal= {arXiv preprint arXiv:1502.05222},
  year   = {2016}
}
R2 v1 2026-06-22T08:32:18.894Z