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

Author Hao Sun

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Hao Sun
  • University of Alberta, 116 St & 85 Ave, Edmonton, AB T6G 2R3, Canada

Acknowledgements

The author would like to thank Zachary Friggstad for invaluable guidance in the writing process and Jochen Koenemann for suggesting the problem.

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Hao Sun. A Constant Factor Approximation for Directed Feedback Vertex Set in Graphs of Bounded Genus. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 317, pp. 18:1-18:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.APPROX/RANDOM.2024.18

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.

Subject Classification

ACM Subject Classification
  • Mathematics of computing → Graphs and surfaces
  • Mathematics of computing → Approximation algorithms
  • Mathematics of computing → Graph algorithms
  • Theory of computation → Rounding techniques
  • Theory of computation → Packing and covering problems
Keywords
  • Feedback Vertex Set
  • Combinatorial Optimization
  • Approximation Algorithms
  • min-max relation
  • linear programming

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