Directed Feedback Vertex Set is Fixed-Parameter Tractable

Authors Igor Razgon, Barry O'Sullivan



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Igor Razgon
Barry O'Sullivan

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Igor Razgon and Barry O'Sullivan. Directed Feedback Vertex Set is Fixed-Parameter Tractable. In Structure Theory and FPT Algorithmics for Graphs, Digraphs and Hypergraphs. Dagstuhl Seminar Proceedings, Volume 7281, pp. 1-14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)
https://doi.org/10.4230/DagSemProc.07281.4

Abstract

We resolve positively a long standing open question regarding the fixed-parameter tractability of the parameterized Directed Feedback Vertex Set problem. In particular, we propose an algorithm which solves this problem in $O(8^kk!*poly(n))$.
Keywords
  • Directed FVS
  • Multicut
  • Directed Acyclic Graph (DAG)

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