English

Determining 4-edge-connected components in linear time

Data Structures and Algorithms 2021-05-06 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2105.01699,
  title  = {Determining 4-edge-connected components in linear time},
  author = {Wojciech Nadara and Mateusz Radecki and Marcin Smulewicz and Marek Sokołowski},
  journal= {arXiv preprint arXiv:2105.01699},
  year   = {2021}
}
R2 v1 2026-06-24T01:46:50.394Z