Vertex Disjoint Paths for Dispatching in Railways

Holger Flier, Matúš Mihalák, Anita Schöbel, Peter Widmayer, Anna Zych

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


We study variants of the vertex disjoint paths problem in planar graphs where paths have to be selected from a given set of paths. We study the problem as a decision, maximization, and routing-in-rounds problem. Although all considered variants are NP-hard in planar graphs, restrictions on the location of the terminals, motivated by railway applications, lead to polynomially solvable cases for the decision and maximization versions of the problem, and to a $p$-approximation algorithm for the routing-in-rounds problem, where $p$ is the maximum number of alternative paths for a terminal pair.
Original languageEnglish
Title of host publicationProceedings of the 10th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS)
Number of pages13
Publication statusPublished - 2010
Externally publishedYes

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