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The Firefighter problem: Saving sets of vertices on cubic graphs

The firefighter problem: saving sets of vertices on cubic graphs
descriptionPublicationkeyboard_double_arrow_right Article 16 Feb 2019 Australia English Publisher:WileyJournal:Networks, volume 74, pages 62-69 (issn: 0028-3045, eissn: 1097-0037, Copyright policy )
Authors: Christopher Duffy 0001; Gary MacGillivray;

doi: 10.1002/net.21873

handle: 11343/285460

The Firefighter problem: Saving sets of vertices on cubic graphs

Abstract

AbstractIn 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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Australia
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Keywords

Management decision making, including multiple objectives, discrete-time process, graph theory, firefighter, Programming involving graphs or networks, algorithms, complexity, graph process, 004

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
bronze
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