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arXiv · 2608.02523

Approximating two-terminal network reliability

Weiming Feng·Yucheng Fu·Heng Guo
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Abstract

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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Weiming Feng, Yucheng Fu, Heng Guo. 2026-08-03. Approximating two-terminal network reliability. https://arxiv.org/abs/2608.02523

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