An Axiomatic Approach to Time-Dependent Shortest Path Oracles

Computing shortest paths in networks that exhibit a time-dependent metric is a core routine for many applications, with route planning in road networks being a prime example. In this work, we present an axiomatic approach which shows that for directed networks that satisfy certain properties we can...

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Bibliographic Details
Published in:Algorithmica Vol. 84; no. 3; pp. 815 - 870
Main Authors: Kontogiannis, Spyros, Wagner, Dorothea, Zaroliagis, Christos
Format: Journal Article
Language:English
Published: New York Springer US 01.03.2022
Springer Nature B.V
Subjects:
Algorithm Analysis and Problem Complexity
Algorithms
Computer Science
Computer Systems Organization and Communication Networks
Data Structures and Information Theory
Mathematics of Computing
Networks
Roads & highways
Route planning
Special Issue from London Stringology Days & London Algorithmic Workshop
Theory of Computation
Time dependence
68Q25 (analysis of algorithms and problem complexity)
Distance oracles
FIFO property
Time-dependent shortest paths
05C85 (graph algorithms )
05C12 (distance in graphs)
ISSN:0178-4617, 1432-0541
Online Access:Get full text
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Summary:Computing shortest paths in networks that exhibit a time-dependent metric is a core routine for many applications, with route planning in road networks being a prime example. In this work, we present an axiomatic approach which shows that for directed networks that satisfy certain properties we can provide time-dependent distance oracles that provably exhibit subquadratic preprocessing time and space (independent of the metric’s amount of disconcavity), query time sublinear on the network size or the actual Dijkstra rank of the query at hand (measuring the distance ordering of the destination from the origin), and small stretch factor (approximation error).
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ISSN:0178-4617
1432-0541
DOI:10.1007/s00453-021-00922-8