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cs.DS2023
A Sampling Lovász Local Lemma for Large Domain Sizes
Chunyang Wang, Yitong Yin
We present polynomial-time algorithms for approximate counting and sampling solutions to constraint satisfaction problems (CSPs) with atomic constraints within the local lemma regi…
cs.DS2023★ 1 cited
Uniqueness and Rapid Mixing in the Bipartite Hardcore Model
Xiaoyu Chen, Jingcheng Liu, Yitong Yin
We characterize the uniqueness condition in the hardcore model for bipartite graphs with degree bounds only on one side, and provide a nearly linear time sampling algorithm that wo…