Simpler and Faster Directed Low-Diameter Decompositions

May 15, 2025 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Jason Li arXiv ID 2505.10244 Category cs.DS: Data Structures & Algorithms Citations 1 Venue arXiv.org Last Checked 4 months ago
Abstract
We present a simpler and faster algorithm for low-diameter decompositions on directed graphs, matching the $O(\log n\log\log n)$ loss factor from Bringmann, Fischer, Haeupler, and Latypov (ICALP 2025) and improving the running time to $O((m+n\log\log n)\log^2n)$.
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