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The firefighter problem for graphs of maximum degree three
Authors:Stephen Finbow  Gary MacGillivray
Institution:a Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada
b Department of Telecommunications and Informatics, University of Trento, Trento, Italy
Abstract:We show that the firefighter problem is NP-complete for trees of maximum degree three, but in P for graphs of maximum degree three if the fire breaks out at a vertex of degree at most two.
Keywords:Firefigher problem  NP-complete problem  Optimization on graphs
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