Almost Uniform Sampling of Independent Sets in Polynomial Time -- Implying NP=RP

Andras Farago

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arXiv · 2312.11838

Almost Uniform Sampling of Independent Sets in Polynomial Time -- Implying NP=RP

Andras Farago

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Abstract

We prove the unexpected result that almost uniform sampling of independent sets in graphs is possible via a probabilistic polynomial time algorithm. Note that our sampling algorithm (if correct) has extremely surprising consequences; the most important one being no less than the unlikely collapse NP=RP.

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Andras Farago. 2023-12-19. Almost Uniform Sampling of Independent Sets in Polynomial Time -- Implying NP=RP. https://arxiv.org/abs/2312.11838

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