3 problems
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Connectivity conjecture for three-omino partitions of square grids
Let be the grid graph, and let be the metagraph whose vertices are partitions of into three connected subgraphs of equal size,…
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Conjecture on proposal connectivity for the Multi-Scale Merge-Split chain
Let be the target measure on spanning forests and linking edges. A state has the form , where is a multi-scale hierarchical forest and is a linking edge set; p…
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Conjecture that tree-based redistricting methods mix quickly
A redistricting plan is a state in an ensemble generated by a Markov chain, and tree-based methods make relatively global changes to the plan. By contrast, moving-boundary and sing…