English

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

Combinatorics 2020-08-21 v1 Discrete Mathematics

Abstract

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 V\'egh, and is a significant simplification and runtime improvement of their approach.

Cite

@article{arxiv.2008.08779,
  title  = {A simple 7/3-approximation algorithm for feedback vertex set in tournaments},
  author = {Manuel Aprile and Matthew Drescher and Samuel Fiorini and Tony Huynh},
  journal= {arXiv preprint arXiv:2008.08779},
  year   = {2020}
}

Comments

14 pages, 4 figures

R2 v1 2026-06-23T17:58:50.036Z