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arXiv · 2311.01026

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

Hao Sun
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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.

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Hao Sun. 2023-11-02. A Constant Factor Approximation for Directed Feedback Vertex Set in Graphs of Bounded Genus. https://arxiv.org/abs/2311.01026

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