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The Cartographer
A 7/3-Approximation for Feedback Vertex Sets in Tournaments
November 03, 2015 Β· Declared Dead Β· π Embedded Systems and Applications
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Authors
Matthias Mnich, Virginia Vassilevska Williams, LΓ‘szlΓ³ A. VΓ©gh
arXiv ID
1511.01137
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM
Citations
21
Venue
Embedded Systems and Applications
Last Checked
3 months ago
Abstract
We consider the minimum-weight feedback vertex set problem in tournaments: given a tournament with non-negative vertex weights, remove a minimum-weight set of vertices that intersects all cycles. This problem is $\mathsf{NP}$-hard to solve exactly, and Unique Games-hard to approximate by a factor better than 2. We present the first $7/3$ approximation algorithm for this problem, improving on the previously best known ratio $5/2$ given by Cai et al. [FOCS 1998, SICOMP 2001].
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