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Parametric Shortest-Path Algorithms via Tropical Geometry
Chair of Discrete Mathematics/Geometry, Technische Universität Berlin, Berlin 10623, Germany;; Max Planck Institute for Mathematics in the Sciences, Leipzig 04103, Germany;.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-3153-5211
2022 (English)In: Mathematics of Operations Research, ISSN 0364-765X, E-ISSN 1526-5471, Vol. 47, no 3, p. 2065-2081Article in journal (Refereed) Published
Abstract [en]

We study parameterized versions of classical algorithms for computing shortest-path trees. This is most easily expressed in terms of tropical geometry. Applications include shortest paths in traffic networks with variable link travel times.

Place, publisher, year, edition, pages
Institute for Operations Research and the Management Sciences (INFORMS) , 2022. Vol. 47, no 3, p. 2065-2081
Keywords [en]
Dijkstra’s algorithm, parameterized shortest paths, traffic networks, tropical geometry
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:kth:diva-335678DOI: 10.1287/moor.2021.1199ISI: 000804375800001Scopus ID: 2-s2.0-85140004252OAI: oai:DiVA.org:kth-335678DiVA, id: diva2:1795355
Note

QC 20230908

Available from: 2023-09-08 Created: 2023-09-08 Last updated: 2023-09-08Bibliographically approved

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Schröter, Benjamin

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