# Geometric Shortest Path Containers

@inproceedings{Wagner2004GeometricSP, title={Geometric Shortest Path Containers}, author={Dorothea Wagner and Thomas Willhalm and Christos D. Zaroliagis}, year={2004} }

In this paper, we consider Dijkstra’s algorithm for the single source single target shortest path problem in large sparse graphs. The goal is to reduce the response time for on-line queries by using precomputed information. Due to the size of the graph, preprocessing space requirements can be only linear in the number of nodes. We assume that a layout of the graph is given. In the preprocessing, we determine from this layout a geometric object for each edge containing all nodes that can be…

## 6 Citations

Partition-Based Speed-Up of Dijkstra ’ s Algorithm

- Computer Science
- 2004

This document shows experimental results for several partitioning algorithms resulting in smaller search spaces on real-world street networks, which uses preprocessed data to decrease the search space for each shortest-path request.

Speed-Up Techniques for Shortest-Path Computations

- Computer ScienceSTACS
- 2007

A condensed overview of new developments and extensions of classic results for Dijkstra's algorithm is provided and how combinations of speed-up techniques can be realized to take advantage from different strategies are discussed.

Approximate distance oracles for geometric spanners

- Computer ScienceTALG
- 2008

The main result is a data structure that answers (1 + ϵ)-approximate shortest-path-length queries in constant time, and hence functions as an approximate distance oracle.

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