Bonsai: A class of effective methods for independent sampling of graph partitions
Data Structures and Algorithms
2026-03-20 v1 Computers and Society
Social and Information Networks
Abstract
We develop effective methods for constructing an ensemble of district plans via independent sampling from a reasonable probability distribution on the space of graph partitions. We compare the performance of our algorithms to that of standard Markov Chain based algorithms in the context of grid graphs and state congressional and legislative maps. For the case of perfect population balance between districts, we provide an explicit description of the distribution from which our method samples.
Keywords
Cite
@article{arxiv.2603.18347,
title = {Bonsai: A class of effective methods for independent sampling of graph partitions},
author = {Jeanne Clelland and Kristopher Tapp},
journal= {arXiv preprint arXiv:2603.18347},
year = {2026}
}