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Determining 4-edge-connected components in linear time
Wojciech Nadara, Mateusz Radecki, Marcin Smulewicz, Marek Sokoło · 2021-05-05 · via cs.DS updates on arXiv.org

In this work, we present the first linear time deterministic algorithm computing the 4-edge-connected components of an undirected graph. First, we show an algorithm listing all 3-edge-cuts in a given 3-edge-connected graph, and then we use the output of this algorithm in order to determine the 4-edge-connected components of the graph.

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