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- W2964102348 abstract "We devise a framework for proving tight lower bounds under the counting exponential-time hypothesis $$mathsf {#ETH}$$ introduced by Dell et al. Our framework allows to convert many known $$mathsf {#P}$$ -hardness results for counting problems into results of the following type: If the given problem admits an algorithm with running time $$2^{o(n)}$$ on graphs with $$n$$ vertices and $$mathcal {O}(n)$$ edges, then $$mathsf {#ETH}$$ fails. As exemplary applications of this framework, we obtain such tight lower bounds for the evaluation of the zero-one permanent, the matching polynomial, and the Tutte polynomial on all non-easy points except for two lines." @default.
- W2964102348 created "2019-07-30" @default.
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- W2964102348 date "2015-01-01" @default.
- W2964102348 modified "2023-10-16" @default.
- W2964102348 title "Block Interpolation: A Framework for Tight Exponential-Time Counting Complexity" @default.
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- W2964102348 doi "https://doi.org/10.1007/978-3-662-47672-7_31" @default.
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