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The Cartographer
Faster Worst Case Deterministic Dynamic Connectivity
July 21, 2015 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Casper Kejlberg-Rasmussen, Tsvi Kopelowitz, Seth Pettie, Mikkel Thorup
arXiv ID
1507.05944
Category
cs.DS: Data Structures & Algorithms
Citations
5
Venue
arXiv.org
Last Checked
4 months ago
Abstract
We present a deterministic dynamic connectivity data structure for undirected graphs with worst case update time $O\left(\sqrt{\frac{n(\log\log n)^2}{\log n}}\right)$ and constant query time. This improves on the previous best deterministic worst case algorithm of Frederickson (STOC 1983) and Eppstein Galil, Italiano, and Nissenzweig (J. ACM 1997), which had update time $O(\sqrt{n})$. All other algorithms for dynamic connectivity are either randomized (Monte Carlo) or have only amortized performance guarantees.
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