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arXiv · 2609.05590

Size-Sensitive Padded Decompositions for Faster Deterministic Negative-Weight Shortest Paths

Khoi Duong
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Abstract

We give a deterministic algorithm for single-source shortest paths in directed graphs with integral edge weights at least $-W$. Its running time is $O((m+n\log\log n)\log(nW)\log^2 n\log\log n)$. This improves the previous fastest deterministic bound of Li by a factor of $\log n/\log\log n$.

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Khoi Duong. 2026-09-04. Size-Sensitive Padded Decompositions for Faster Deterministic Negative-Weight Shortest Paths. https://arxiv.org/abs/2609.05590

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