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On the Complexity of Sampling Redistricting Plans

06/10/2022

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by Moses Charikar, et al.

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A crucial task in the political redistricting problem is to sample redistricting plans i.e. a partitioning of the graph of census blocks into districts. We show that Recombination [DeFord-Duchin-Solomon'21]-a popular Markov chain to sample redistricting plans-is exponentially slow mixing on simple subgraph of ℤ_2. We show an alternative way to sample balance, compact and contiguous redistricting plans using a "relaxed" version of ReCom and rejection sampling.

Moses Charikar
42 publications
Paul Liu
14 publications
Tianyu Liu
68 publications
Thuy Duong Vuong
17 publications

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