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Parameterized Complexity of the Firefighter Problem

Identifieur interne : 001518 ( Istex/Corpus ); précédent : 001517; suivant : 001519

Parameterized Complexity of the Firefighter Problem

Auteurs : Cristina Bazgan ; Morgan Chopin ; Michael R. Fellows

Source :

RBID : ISTEX:70BD68B8E1DA56DBB7F6C3404A53D5FD25290EE3

English descriptors

Abstract

Abstract: 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.

Url:
DOI: 10.1007/978-3-642-25591-5_66

Links to Exploration step

ISTEX:70BD68B8E1DA56DBB7F6C3404A53D5FD25290EE3

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<abstract lang="en">Abstract: 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.</abstract>
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