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The Cartographer
3/2-Approximation for the Forest Augmentation Problem
July 15, 2024 Β· Declared Dead Β· + Add venue
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Authors
Ali Γivril
arXiv ID
2407.11101
Category
cs.DS: Data Structures & Algorithms
Citations
0
Last Checked
5 months ago
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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