###### Moon Duchin

Computational (especially MCMC) approaches to redistricting are starting to get substantial traction in courts, and all of them start by modeling a state as a graph to be partitioned. But what is the right graph to represent the voters of a state in a way that makes it possible to consider all of the principles and values that matter to redistricting? And what are the properties of these networks of voters? I'll describe some of what is known and pose a lot of open questions.

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Computational (especially MCMC) approaches to redistricting are starting to get substantial traction in courts, and all of them start by modeling a state as a graph to be partitioned. But what is the right graph to represent the voters of a state in a way that makes it possible to consider all of the principles and values that matter to redistricting? And what are the properties of these networks of voters? I'll describe some of what is known and pose a lot of open questions.