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The Cartographer
Breaking the Sorting Barrier for Directed Single-Source Shortest Paths
April 23, 2025 Β· Declared Dead Β· π Symposium on the Theory of Computing
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Authors
Ran Duan, Jiayi Mao, Xiao Mao, Xinkai Shu, Longhui Yin
arXiv ID
2504.17033
Category
cs.DS: Data Structures & Algorithms
Citations
18
Venue
Symposium on the Theory of Computing
Last Checked
3 months ago
Abstract
We give a deterministic $O(m\log^{2/3}n)$-time algorithm for single-source shortest paths (SSSP) on directed graphs with real non-negative edge weights in the comparison-addition model. This is the first result to break the $O(m+n\log n)$ time bound of Dijkstra's algorithm on sparse graphs, showing that Dijkstra's algorithm is not optimal for SSSP.
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