The Firefighter problem: Saving sets of vertices on cubic graphs

NETWORKS(2019)

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摘要
In the context of the Firefighter problem, a deterministic model of the spread of a fire or virus on a graph, SFIRE is the decision problem that asks if a specified set of vertices can be prevented from burning. We show SFIRE remains NP-complete even when restricted to graphs with maximum degree 3 even when the fire starts at a vertex of degree 2.
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关键词
algorithms,complexity,discrete-time process,Firefighter,graph process,graph theory
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