Parameterized Complexity of the Firefighter Problem

  • Cristina Bazgan
  • Morgan Chopin
  • Michael R. Fellows
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7074)


In this paper we study the parameterized complexity of the firefighter problem. More precisely, we show that Saving k -Vertices and its dual Saving All But k -Vertices are both W[1]-hard for parameter k even for bipartite graphs. We also investigate several cases for which the firefighter problem is tractable. For instance, Saving k -Vertices is fixed-parameter tractable on planar graphs for parameter k. Moreover, we prove a lower bound to polynomial kernelization for Saving All But k -Vertices.


Bipartite Graph Planar Graph Parameterized Complexity Polynomial Kernel Reduction Rule 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Cristina Bazgan
    • 1
    • 2
  • Morgan Chopin
    • 1
  • Michael R. Fellows
    • 3
  1. 1.LAMSADEUniversité Paris-DauphineFrance
  2. 2.Institut Universitaire de FranceFrance
  3. 3.Charles Darwin UniversityAustralia

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