2000 character limit reached
A Constant Factor Approximation for Directed Feedback Vertex Set in Graphs of Bounded Genus (2311.01026v4)
Published 2 Nov 2023 in cs.DS and cs.DM
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.