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Author

Ebrahim Ghorbani

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Preprint Sep 2026

A deterministic $(2 + \varepsilon)$-approximation for directed feedback vertex sets in tournaments

We nearly settle the polynomial-time approximability of the Directed Feedback Vertex Set problem in tournaments. This problem is Vertex Cover-hard, and thus cannot have a $(2 - \varepsilon)$-approximation for any $\varepsilon>0$ in polynomial time assuming the Unique Games Conjecture. In the past 28 years, several work...

Ebrahim Ghorbani, Matthias Mnich · 0 citations
Conference 2026

A 9/4-Approximation for Directed Feedback Vertex Sets in Quasi-Transitive Digraphs

This work provides the first non-trivial approximation algorithm for the fundamental directed feedback vertex set (DFVS) problem in the class of quasi-transitive digraphs, and improves and simplify the best-known deterministic polynomial-time approximation algorithms for DFVS in tournaments.

Ebrahim Ghorbani, Matthias Mnich · 3 citations · ⚡1

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