S. Chechik, Thomas Dueholm Hansen, G. Italiano, Jakub Lacki, Nikos Parotsidis
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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.