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arXiv · 2407.04872

Faster single-source shortest paths with negative real weights via proper hop distance

Yufan Huang·Peter Jin·Kent Quanrud
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Abstract

The textbook algorithm for single-source shortest paths with real-valued edge weights runs in $O(m n)$ time on a graph with $m$ edges and $n$ vertices. A recent breakthrough algorithm by Fineman [Fin24] takes $\tilde O(m n^{8/9})$ randomized time. We present an $\tilde O(m n^{4/5})$ randomized time algorithm building on ideas from [Fin24].

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Yufan Huang, Peter Jin, Kent Quanrud. 2024-07-05. Faster single-source shortest paths with negative real weights via proper hop distance. https://arxiv.org/abs/2407.04872

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