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Bibliographic Details
Main Authors: Huang, Yufan, Jin, Peter, Quanrud, Kent
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2407.04872
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Table of Contents:
  • 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].