Routing on the visibility graph

Prosenjit Bose, Matias Korman, André Vanrenssen, Sander Verdonschot

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

We consider the problem of routing on a network in the presence of line segment constraints (i.e., obstacles that edges in our network are not allowed to cross). Let P be a set of n points in the plane and let S be a set of non-crossing line segments whose endpoints are in P. We present two deterministic 1-local O(1)-memory routing algorithms that are guaranteed to find a path of at most linear size between any pair of vertices of the visibility graph of P with respect to a set of constraints S (i.e., the algorithms never look beyond the direct neighbours of the current location and store only a constant amount of information). Contrary to all existing deterministic local routing algorithms, our routing algorithms do not route on a plane subgraph of the visibility graph.

Original languageEnglish
Title of host publication28th International Symposium on Algorithms and Computation, ISAAC 2017
EditorsTakeshi Tokuyama, Yoshio Okamoto
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ISBN (Electronic)9783959770545
DOIs
Publication statusPublished - 2017 Dec 1
Event28th International Symposium on Algorithms and Computation, ISAAC 2017 - Phuket, Thailand
Duration: 2017 Dec 92017 Dec 22

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume92
ISSN (Print)1868-8969

Other

Other28th International Symposium on Algorithms and Computation, ISAAC 2017
CountryThailand
CityPhuket
Period17/12/917/12/22

Keywords

  • Constraints
  • Routing
  • Visibility graph
  • Θ-graph

ASJC Scopus subject areas

  • Software

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  • Cite this

    Bose, P., Korman, M., Vanrenssen, A., & Verdonschot, S. (2017). Routing on the visibility graph. In T. Tokuyama, & Y. Okamoto (Eds.), 28th International Symposium on Algorithms and Computation, ISAAC 2017 (Leibniz International Proceedings in Informatics, LIPIcs; Vol. 92). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing. https://doi.org/10.4230/LIPIcs.ISAAC.2017.18