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Parametric Shortest-Path Algorithms via Tropical Geometry

Author

Listed:
  • Michael Joswig

    (Chair of Discrete Mathematics/Geometry, Technische Universität Berlin, Berlin 10623, Germany; Max Planck Institute for Mathematics in the Sciences, Leipzig 04103, Germany)

  • Benjamin Schröter

    (Department of Mathematics, KTH Royal Institute of Technology, Stockholm SE-100 44, Sweden)

Abstract

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.

Suggested Citation

  • Michael Joswig & Benjamin Schröter, 2022. "Parametric Shortest-Path Algorithms via Tropical Geometry," Mathematics of Operations Research, INFORMS, vol. 47(3), pages 2065-2081, August.
    • Handle: RePEc:inm:ormoor:v:47:y:2022:i:3:p:2065-2081
    DOI: 10.1287/moor.2021.1199
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