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arXiv · 2309.13827

A simple linear-time algorithm for generating auxiliary 3-edge-connected subgraphs

Yung H. Tsin
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Abstract

A linear-time algorithm for generating auxiliary subgraphs for the 3-edge-connected components of a connected multigraph is presented. The algorithm uses an innovative graph contraction operation and makes only one pass over the graph. By contrast, the previously best-known algorithms make multiple passes over the graph to decompose it into its 2-edge-connected components or 2-vertex-connected components, then its 3-edge-connected components or 3-vertex-connected components, and then construct a cactus representation for the 2-cuts to generate the auxiliary subgraphs for the 3-edge-connected components.

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Yung H. Tsin. 2023-09-25. A simple linear-time algorithm for generating auxiliary 3-edge-connected subgraphs. https://arxiv.org/abs/2309.13827

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