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arXiv · 2407.10526

9/7-Approximation for Two-Edge-Connectivity and Two-Vertex-Connectivity

Ali Çivril
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Abstract

We provide algorithms for the minimum 2-edge-connected spanning subgraph problem and the minimum 2-vertex-connected spanning subgraph problem with approximation ratio $\frac{9}{7}$. This improves upon a recent algorithm with ratio slightly smaller than $\frac{4}{3}$ for 2-edge-connectivity, and another one with ratio $\frac{4}{3}$ for 2-vertex-connectivity.

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Ali Çivril. 2024-07-15. 9/7-Approximation for Two-Edge-Connectivity and Two-Vertex-Connectivity. https://arxiv.org/abs/2407.10526

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