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

Fully Dynamic Connectivity in O (log n (log log n ) 2 ) Amortized Expected Time
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完全动态连接,时间复杂度为 O (log n (log log n ) 2 ) 摊销预期时间

DOI:
10.1137/1.9781611974782.32
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发表时间:
2017
期刊:
SODA 2017
影响因子:
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通讯作者:
Pettie, Seth
Pettie, Seth
中科院分区:
--
文献类型:
--
作者:
Huang, Shang-En;Huang, Dawei;Kopelowitz, Tsvi;Pettie, Seth

文献摘要

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动态连通性是动态图算法中最基本的问题之一。我们提出了一个随机化的拉斯维加斯动态连接数据结构,其中具有1/2(log log log𝑛𝑛𝑂
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 to the cell probe lower bounds of Patrascu and Demaine (2006) and Patrascu and Thorup (2011).