0-1 Knapsack in Nearly Quadratic Time

We study pseudo-polynomial time algorithms for the fundamental 0- 1 Knapsack problem. Recent research interest has focused on its finegrained complexity with respect to the number of items 𝑛 and the maximum item weight 𝑤max. Under (min, +)-convolution hypothesis, 0-1 Knapsack does not have𝑂( (𝑛+𝑤m...

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Bibliographic Details
Main Author: Jin, Ce
Format: Article
Language:English
Published: Association for Computing Machinery STOC 2024: Proceedings of the 56th Annual ACM Symposium on Theory of Computing 2024
Online Access:https://hdl.handle.net/1721.1/155707