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Lower Bounds Based on the Exponential-Time Hypothesis

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Parameterized Algorithms

Abstract

The Exponential Time Hypothesis (ETH) is a conjecture stating that, roughly speaking, n-variable 3-SAT cannot be solved in time 2o(n). In this chapter, we prove lower bounds based on ETH for the time needed to solve various problems. In many cases, these lower bounds match (up to small factors) the running time of the best known algorithms for the problem.

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Correspondence to Marek Cygan .

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Cygan, M. et al. (2015). Lower Bounds Based on the Exponential-Time Hypothesis. In: Parameterized Algorithms. Springer, Cham. https://doi.org/10.1007/978-3-319-21275-3_14

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  • DOI: https://doi.org/10.1007/978-3-319-21275-3_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21274-6

  • Online ISBN: 978-3-319-21275-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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