A simple 7/3-approximation algorithm for feedback vertex set in tournaments

08/20/2020

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by   Manuel Aprile, et al.

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We show that performing just one round of the Sherali-Adams hierarchy gives an easy 7/3-approximation algorithm for the Feedback Vertex Set (FVST) problem in tournaments. This matches the best deterministic approximation algorithm for FVST due to Mnich, Williams, and Végh, and is a significant simplification and runtime improvement of their approach.