在Õ(m√n)总更新时间内递增的单源可达性和强连接组件

S. Chechik, Thomas Dueholm Hansen, G. Italiano, Jakub Lacki, Nikos Parotsidis
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引用次数: 24

摘要

针对有向图上的递减单源可达性和递减强连通分量问题,提出了总更新时间为Õ(m√n)的随机化算法。这进一步完善了Henzinger、Krinninger和Nanongkai最近的突破性成果[STOC 14, ICALP 15]。此外,我们的算法可以说更简单。
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Decremental Single-Source Reachability and Strongly Connected Components in Õ(m√n) Total Update Time
We present randomized algorithms with a total update time of Õ(m √n) for the problems of decremental single source reachability and decremental strongly connected components on directed graphs. This improves recent breakthrough results of Henzinger, Krinninger and Nanongkai [STOC 14, ICALP 15]. In addition, our algorithms are arguably simpler.
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