9 papers
Colorado in Context: Congressional Redistricting and Competing Fairness Criteria in Colorado
Jeanne Clelland, Haley Colgate, Daryl DeFord +2
In this paper, we apply techniques of ensemble analysis to understand the political baseline for Congressional representation in Colorado. We generate a large random sample of reas…
Implementing partisan symmetry: Problems and paradoxes
Daryl DeFord, Natasha Dhamankar, Moon Duchin +4
We consider the measures of partisan symmetry proposed for practical use in the political science literature, as clarified and developed in Katz, King, and Rosenblatt (2020). Eleme…
Medial Axis Isoperimetric Profiles
Paul Zhang, Daryl Deford, Justin Solomon
Recently proposed as a stable means of evaluating geometric compactness, the isoperimetric profile of a planar domain measures the minimum perimeter needed to inscribe a shape with…
Mathematics of Nested Districts: The Case of Alaska
Sophia Caldera, Daryl DeFord, Moon Duchin +2
In eight states, a "nesting rule" requires that each state Senate district be exactly composed of two adjacent state House districts. In this paper we investigate the potential imp…
A Computational Approach to Measuring Vote Elasticity and Competitiveness
Daryl DeFord, Moon Duchin, Justin Solomon
The recent wave of attention to partisan gerrymandering has come with a push to refine or replace the laws that govern political redistricting around the country. A common element…
Recombination: A family of Markov chains for redistricting
Daryl DeFord, Moon Duchin, Justin Solomon
Redistricting is the problem of partitioning a set of geographical units into a fixed number of districts, subject to a list of often-vague rules and priorities. In recent years, t…