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arXiv · 2408.14406

Fully Dynamic Shortest Paths in Sparse Digraphs

Adam Karczmarz·Piotr Sankowski
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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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Adam Karczmarz, Piotr Sankowski. 2024-08-26. Fully Dynamic Shortest Paths in Sparse Digraphs. https://doi.org/10.4230/lipics.icalp.2023.84

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