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- W2964052962 abstract "Given a directed graph G and a parameter k, the Long Directed Cycle (LDC) problem asks whether G contains a simple cycle on at least k vertices, while the k-Path problem asks whether G contains a simple path on exactly k vertices. Given a deterministic (randomized) algorithm for k-Path as a black box, which runs in time t(G,k), we prove that LDC can be solved in deterministic time O⁎(max{t(G,2k),4k+o(k)}) or in randomized time O⁎(max{t(G,2k),4k}). In particular, we get that LDC can be solved in randomized time O⁎(4k)." @default.
- W2964052962 created "2019-07-30" @default.
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- W2964052962 date "2016-06-01" @default.
- W2964052962 modified "2023-09-27" @default.
- W2964052962 title "A randomized algorithm for long directed cycle" @default.
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- W2964052962 doi "https://doi.org/10.1016/j.ipl.2016.02.005" @default.
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