Approximating Partition in Near-Linear Time
CoRR(2024)
摘要
We propose an O(n + 1/ε)-time FPTAS (Fully
Polynomial-Time Approximation Scheme) for the classical Partition problem. This
is the best possible (up to a logarithmic factor) assuming SETH (Strong
Exponential Time Hypothesis) [Abboud, Bringmann, Hermelin, and Shabtay'22].
Prior to our work, the best known FPTAS for Partition runs in O(n
+ 1/ε^5/4) time [Deng, Jin and Mao'23, Wu and Chen'22]. Our result
is obtained by solving a more general problem of weakly approximating Subset
Sum.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要