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The Cartographer
Fully Dynamic Shortest Paths in Sparse Digraphs
August 26, 2024 Β· Declared Dead Β· π International Colloquium on Automata, Languages and Programming
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Authors
Adam Karczmarz, Piotr Sankowski
arXiv ID
2408.14406
Category
cs.DS: Data Structures & Algorithms
Citations
3
Venue
International Colloquium on Automata, Languages and Programming
Last Checked
4 months ago
Abstract
We study the exact fully dynamic shortest paths problem. For real-weighted directed graphs, we show a deterministic fully dynamic data structure with $\tilde{O}(mn^{4/5})$ worst-case update time processing arbitrary $s,t$-distance queries in $\tilde{O}(n^{4/5})$ time. This constitutes the first non-trivial update/query tradeoff for this problem in the regime of sparse weighted directed graphs.
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