Fully Dynamic Connectivity in $O(\log n(\log\log n)^2)$ Amortized Expected Time

Dynamic connectivity is one of the most fundamental problems in dynamic graph algorithms. We present a randomized Las Vegas dynamic connectivity data structure with $O(\log n(\log\log n)^2)$ amortized expected update time and $O(\log n/\log\log\log n)$ worst case query time, which comes very close t...

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Bibliographic Details
Main Authors: Shang-En Huang, Dawei Huang, Tsvi Kopelowitz, Seth Pettie, Mikkel Thorup
Format: Article
Language:English
Published: TheoretiCS Foundation e.V. 2023-05-01
Series:TheoretiCS
Subjects:
Online Access:https://theoretics.episciences.org/9645/pdf