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

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Authors Ali Γ‡ivril arXiv ID 2407.10526 Category cs.DS: Data Structures & Algorithms Citations 0 Last Checked 5 months ago
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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