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The Cartographer
Deterministic Padded Decompositions and Negative-Weight Shortest Paths
November 11, 2025 Β· Declared Dead Β· π arXiv.org
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Authors
Jason Li
arXiv ID
2511.07859
Category
cs.DS: Data Structures & Algorithms
Citations
3
Venue
arXiv.org
Last Checked
4 months ago
Abstract
We obtain the first near-linear time deterministic algorithm for negative-weight single-source shortest paths on integer-weighted graphs. Our main ingredient is a deterministic construction of a padded decomposition on directed graphs, which may be of independent interest.
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