A \(14k\)-Kernel for Planar Feedback Vertex Set via Region Decomposition

  • Marthe Bonamy
  • Łukasz KowalikEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8894)


We show a kernel of at most \(14k\) vertices for the Planar Feedback Vertex Set problem. This improves over the previous kernel of size bounded by \(97k\). Our algorithm has a few new reduction rules. However, our main contribution is an application of the region decomposition technique in the analysis of the kernel size.


Planar Graph Maximal Chain Kernel Size Internal Vertex Reduction Rule 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.LIRMMMontpellierFrance
  2. 2.University of WarsawWarsawPoland

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