Temporal Connectivity: Coping with Foreseen and Unforeseen Delays

Eugen Füchsle, Hendrik Molter, Rolf Niedermeier, Malte Renken

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Consider planning a trip in a train network. In contrast to, say, a road network, the edges are temporal, i.e., they are only available at certain times. Another important difficulty is that trains, unfortunately, sometimes get delayed. This is especially bad if it causes one to miss subsequent trains. The best way to prepare against this is to have a connection that is robust to some number of (small) delays. An important factor in determining the robustness of a connection is how far in advance delays are announced. We give polynomial-time algorithms for the two extreme cases: delays known before departure and delays occurring without prior warning (the latter leading to a two-player game scenario). Interestingly, in the latter case, we show that the problem becomes PSPACE-complete if the itinerary is demanded to be a path.

Original languageEnglish
Title of host publication1st Symposium on Algorithmic Foundations of Dynamic Networks, SAND 2022
EditorsJames Aspnes, Othon Michail
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ISBN (Electronic)9783959772242
DOIs
StatePublished - 1 Apr 2022
Event1st Symposium on Algorithmic Foundations of Dynamic Networks, SAND 2022 - Virtual, Online
Duration: 28 Mar 202230 Mar 2022

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume221
ISSN (Print)1868-8969

Conference

Conference1st Symposium on Algorithmic Foundations of Dynamic Networks, SAND 2022
CityVirtual, Online
Period28/03/2230/03/22

Keywords

  • PSPACE-completeness
  • Paths and walks in temporal graphs
  • dynamic programming
  • flow computations
  • static expansions of temporal graphs
  • two-player games

ASJC Scopus subject areas

  • Software

Fingerprint

Dive into the research topics of 'Temporal Connectivity: Coping with Foreseen and Unforeseen Delays'. Together they form a unique fingerprint.

Cite this