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arXiv · 2407.11101

3/2-Approximation for the Forest Augmentation Problem

Ali Çivril
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Abstract

We describe a $\frac{3}{2}$-approximation algorithm for the Forest Augmentation Problem (\textsf{FAP}), which is a special case of the Weighted 2-Edge-Connected Spanning Subgraph Problem (\textsf{Weighted 2-ECSS}). This significantly improves upon the previous best ratio $1.9973$, and proceeds toward the goal of a $\frac{3}{2}$-approximation algorithm for \textsf{Weighted 2-ECSS}.

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Ali Çivril. 2024-07-15. 3/2-Approximation for the Forest Augmentation Problem. https://arxiv.org/abs/2407.11101

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