Abstract
Continuous and discrete models [1, 5] for firefighting problems are well-studied in Theoretical Computer Science. We introduce a new, discrete, and more general framework based on a hexagonal cell graph to study firefighting problems in varied terrains. We present three different firefighting problems in the context of this model; for two of which, we provide efficient polynomial time algorithms and for the third, we show NP-completeness. We also discuss possible extensions of the model and their implications on the computational complexity.
This work has been supported in part by DFG grant Kl 655/19 as part of a DACH project and by NSERC under grant no. RGPIN-2016-06253.
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We thank all anonymous reviewers for their helpful comments and suggestions.
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Klein, R., Kübel, D., Langetepe, E., Sack, JR., Schwarzwald, B. (2020). A New Model in Firefighting Theory. In: Changat, M., Das, S. (eds) Algorithms and Discrete Applied Mathematics. CALDAM 2020. Lecture Notes in Computer Science(), vol 12016. Springer, Cham. https://doi.org/10.1007/978-3-030-39219-2_30
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