English

A Constant Factor Approximation for Directed Feedback Vertex Set in Graphs of Bounded Genus

Data Structures and Algorithms 2024-05-14 v4 Discrete Mathematics

Abstract

The minimum directed feedback vertex set problem consists in finding the minimum set of vertices that should be removed in order to make a directed graph acyclic. This is a well-known NP-hard optimization problem with applications in various fields, such as VLSI chip design, bioinformatics and transaction processing deadlock prevention and node-weighted network design. We show a constant factor approximation for the directed feedback vertex set problem in graphs of bounded genus.

Keywords

Cite

@article{arxiv.2311.01026,
  title  = {A Constant Factor Approximation for Directed Feedback Vertex Set in Graphs of Bounded Genus},
  author = {Hao Sun},
  journal= {arXiv preprint arXiv:2311.01026},
  year   = {2024}
}
R2 v1 2026-06-28T13:09:20.832Z