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Shortest-Path Queries in Geometric Networks

Author Eunjin Oh

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Author Details

Eunjin Oh
  • Department of Computer Science and Engineering, POSETCH, Pohang, South Korea

Funding

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No.2020R1C1C1012742).

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Eunjin Oh. Shortest-Path Queries in Geometric Networks. In 31st International Symposium on Algorithms and Computation (ISAAC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 181, pp. 52:1-52:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020) https://doi.org/10.4230/LIPIcs.ISAAC.2020.52

Abstract

A Euclidean t-spanner for a point set V ⊂ ℝ^d is a graph such that, for any two points p and q in V, the distance between p and q in the graph is at most t times the Euclidean distance between p and q. Gudmundsson et al. [TALG 2008] presented a data structure for answering ε-approximate distance queries in a Euclidean spanner in constant time, but it seems unlikely that one can report the path itself using this data structure. In this paper, we present a data structure of size O(nlog n) that answers ε-approximate shortest-path queries in time linear in the size of the output.

Subject Classification

ACM Subject Classification
  • Theory of computation → Computational geometry
Keywords
  • Shortest path
  • Euclidean spanner
  • data structure

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