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The Cartographer
Faster single-source shortest paths with negative real weights via proper hop distance
July 05, 2024 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Yufan Huang, Peter Jin, Kent Quanrud
arXiv ID
2407.04872
Category
cs.DS: Data Structures & Algorithms
Citations
13
Venue
arXiv.org
Last Checked
4 months ago
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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