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Dynamic connectivity is one of the most fundamental problems in dynamic graphalgorithms. We present a randomized Las Vegas dynamic connectivity datastructure 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 to thecell probe lower bounds of Patrascu and Demaine (2006) and Patrascu and Thorup(2011).more » « less
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Huang, Dawei; Pettie, Seth (, Algorithmica)
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Huang, Dawei; Pettie, Seth; Zhang, Yixiang; Zhang, Zhijun (, SIAM Journal on Computing)null (Ed.)
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Huang, Dawei; Pettie, Seth; Zhang, Yixiang; Zhang, Zhijun (, Proceedings of the Annual ACMSIAM Symposium on Discrete Algorithms)
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Huang, Dawei; Yoon, Dong Young; Pettie, Seth; Mozafari, Barzan (, Proceedings of the VLDB Endowment)
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Huang, Shang-En; Huang, Dawei; Kopelowitz, Tsvi; Pettie, Seth (, SODA 2017)