[2309.10377] K-Shortest Simple Paths Using Biobjective Path Search
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Computer Science > Data Structures and Algorithms

arXiv:2309.10377 (cs)
[Submitted on 19 Sep 2023]

Title:K-Shortest Simple Paths Using Biobjective Path Search

Authors:Pedro Maristany de las Casas, Antonio Sedeño-Noda, Ralf Borndörfer, Max Huneshagen
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Abstract:In this paper we introduce a new algorithm for the \emph{$k$-Shortest Simple Paths} (\kspp{k}) problem with an asymptotic running time matching the state of the art from the literature. It is based on a black-box algorithm due to \citet{Roditty12} that solves at most $2k$ instances of the \emph{Second Shortest Simple Path} (\kspp{2}) problem without specifying how this is done. We fill this gap using a novel approach: we turn the scalar \kspp{2} into instances of the Biobjective Shortest Path problem. Our experiments on grid graphs and on road networks show that the new algorithm is very efficient in practice.
Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM)
MSC classes: 90C99
ACM classes: G.4; G.2.2
Cite as: arXiv:2309.10377 [cs.DS]
  (or arXiv:2309.10377v1 [cs.DS] for this version)
  https://doi.org/10.48550/arXiv.2309.10377

Submission history

From: Pedro Maristany de las Casas [view email]
[v1] Tue, 19 Sep 2023 07:25:55 UTC (106 KB)
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