Shortest-Path Queries in Geometric Networks

Author Eunjin Oh



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

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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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