Abstract | ||
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In this paper we study the parameterized complexity of the firefighter problem. More precisely, we show that Savingk-Vertices and its dual Saving All Butk-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, Savingk-Vertices is fixed-parameter tractable on planar graphs for parameter k. Moreover, we prove a lower bound to polynomial kernelization for Saving All Butk-Vertices. |
Year | DOI | Venue |
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2011 | 10.1007/978-3-642-25591-5_66 | ISAAC |
Keywords | DocType | Volume |
fixed-parameter tractable,parameter k,bipartite graph,firefighter problem,planar graph,parameterized complexity,Parameterized complexity | Conference | 7074 |
ISSN | Citations | PageRank |
0302-9743 | 3 | 0.44 |
References | Authors | |
9 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Cristina Bazgan | 1 | 679 | 62.76 |
Morgan Chopin | 2 | 85 | 6.78 |
Michael R. Fellows | 3 | 4138 | 319.37 |