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- W4385890265 abstract "We investigate polynomial-time approximation schemes for the classic 0-1 knapsack problem. The previous algorithm by Deng, Jin, and Mao (SODA'23) has approximation factor $1 + eps$ with running time $widetilde{O}(n + frac{1}{eps^{2.2}})$. There is a lower Bound of $(n + frac{1}{eps})^{2-o(1)}$ conditioned on the hypothesis that $(min, +)$ has no truly subquadratic algorithm. We close the gap by proposing an approximation scheme that runs in $widetilde{O}(n + frac{1}{eps^2})$ time." @default.
- W4385890265 created "2023-08-17" @default.
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- W4385890265 date "2023-08-15" @default.
- W4385890265 modified "2023-09-27" @default.
- W4385890265 title "A Nearly Quadratic-Time FPTAS for Knapsack" @default.
- W4385890265 doi "https://doi.org/10.48550/arxiv.2308.07821" @default.
- W4385890265 hasPublicationYear "2023" @default.
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