Parametric shortest-path algorithms via tropical geometry
Combinatorics
2022-08-05 v4 Optimization and Control
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.
Cite
@article{arxiv.1904.01082,
title = {Parametric shortest-path algorithms via tropical geometry},
author = {Michael Joswig and Benjamin Schröter},
journal= {arXiv preprint arXiv:1904.01082},
year = {2022}
}
Comments
24 pages and 8 figures