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Delay-Robust Routes in Temporal Graphs

Authors Eugen Füchsle, Hendrik Molter , Rolf Niedermeier , Malte Renken

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Author Details

Eugen Füchsle
  • Faculty IV, Algorithmics and Computational Complexity, TU Berlin, Germany
Hendrik Molter
  • Department of Industrial Engineering and Management, Ben-Gurion University of the Negev, Beer-Sheva, Israel
Rolf Niedermeier
  • Faculty IV, Algorithmics and Computational Complexity, TU Berlin, Germany
Malte Renken
  • Faculty IV, Algorithmics and Computational Complexity, TU Berlin, Germany

Funding

  • Molter, Hendrik: Supported by the ISF, grant No. 1070/20.
  • Renken, Malte: Supported by the DFG, project MATE (NI 369/17).

Cite AsGet BibTex

Eugen Füchsle, Hendrik Molter, Rolf Niedermeier, and Malte Renken. Delay-Robust Routes in Temporal Graphs. In 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 219, pp. 30:1-30:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/LIPIcs.STACS.2022.30

Abstract

Most transportation networks are inherently temporal: Connections (e.g. flights, train runs) are only available at certain, scheduled times. When transporting passengers or commodities, this fact must be considered for the the planning of itineraries. This has already led to several well-studied algorithmic problems on temporal graphs. The difficulty of the described task is increased by the fact that connections are often unreliable - in particular, many modes of transportation suffer from occasional delays. If these delays cause subsequent connections to be missed, the consequences can be severe. Thus, it is a vital problem to design itineraries that are robust to (small) delays. We initiate the study of this problem from a parameterized complexity perspective by proving its NP-completeness as well as several hardness and tractability results for natural parameterizations.

Subject Classification

ACM Subject Classification
  • Theory of computation → Graph algorithms analysis
  • Theory of computation → Fixed parameter tractability
  • Mathematics of computing → Discrete mathematics
Keywords
  • algorithms and complexity
  • parameterized complexity
  • time-varying networks
  • temporal paths
  • journeys

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