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arXiv 2608.02523cs.DS

两终端网络可靠性的近似

Approximating two-terminal network reliability

Weiming Feng, Yucheng Fu, Heng Guo

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中文总结 AI 辅助

针对一般图的两终端可靠性问题,提出FPRAS,证明互补不可靠性问题#BIS难,核心思想来自GPT-5.6 Sol Ultra。

中文摘要 AI 辅助

我们针对一般图(含有向和无向)的两终端可靠性问题,提出了全多项式时间随机近似方案(FPRAS);同时证明互补的不可靠性问题是#BIS难问题,该算法核心思想由GPT-5.6 Sol Ultra发现。

英文摘要

We present a fully polynomial-time randomised approximation scheme (FPRAS) for the two-terminal reliability problem on general graphs, both directed and undirected. We also show that the complementary unreliability question is \BIS-hard. The key idea of the algorithm was discovered by GPT-5.6 Sol Ultra.

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