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We study the computational complexity of the map redistricting problem (gerrymandering). Mathematically, the electoral district designer (gerrymanderer) attempts to partition a weighted graph into $k$ connected components (districts) such…

Computer Science and Game Theory · Computer Science 2024-01-09 Jack Dippel , Max Dupré la Tour , April Niu , Sanjukta Roy , Adrian Vetta

When auditing a redistricting plan, a persuasive method is to compare the plan with an ensemble of neutrally drawn redistricting plans. Ensembles are generated via algorithms that sample distributions on balanced graph partitions. To audit…

Physics and Society · Physics 2024-02-01 Gabriel Chuang , Gregory Herschlag , Jonathan C. Mattingly

In representative democracy, a redistricting map is chosen to partition an electorate into districts which each elects a representative. A valid redistricting map must satisfy a collection of constraints such as being compact, contiguous,…

Computer Science and Game Theory · Computer Science 2024-12-10 Seyed A. Esmaeili , Darshan Chakrabarti , Hayley Grape , Brian Brubach

Gerrymandering is a practice of manipulating district boundaries and locations in order to achieve a political advantage for a particular party. Lewenberg, Lev, and Rosenschein [AAMAS 2017] initiated the algorithmic study of a…

Data Structures and Algorithms · Computer Science 2020-02-19 Eduard Eiben , Fedor V. Fomin , Fahad Panolan , Kirill Simonov

Redistricting is the problem of dividing a state into a number $k$ of regions, called districts. Voters in each district elect a representative. The primary criteria are: each district is connected, district populations are equal (or nearly…

Data Structures and Algorithms · Computer Science 2020-09-02 Vincent Cohen-Addad , Philip N. Klein , Dániel Marx

Recently, an increasing number of researchers, especially in the realm of political redistricting, have proposed sampling-based techniques to generate a subset of plans from the vast space of districting plans. These techniques have been…

Artificial Intelligence · Computer Science 2022-06-09 Subhodip Biswas , Fanglan Chen , Zhiqian Chen , Chang-Tien Lu , Naren Ramakrishnan

After every U.S. national census, a state legislature is required to redraw the boundaries of congressional districts in order to account for changes in population. At the moment this is done in a highly partisan way, with districting done…

Computers and Society · Computer Science 2017-11-15 Jason Dou

The gerrymandering problem is a worldwide problem which sets great threat to democracy and justice in district based elections. Thanks to partisan redistricting commissions, district boundaries are often manipulated to benefit incumbents.…

Computers and Society · Computer Science 2015-10-14 Lucy Chenyun Wu , Jason Xiaotian Dou , Danny Sleator , Alan Frieze , David Miller

Using an ensemble of redistricting plans, we evaluate whether a given political districting faithfully represents the geo-political landscape. Redistricting plans are sampled by a Monte Carlo algorithm from a probability distribution that…

As granular data about elections and voters become available, redistricting simulation methods are playing an increasingly important role when legislatures adopt redistricting plans and courts determine their legality. These simulation…

Applications · Statistics 2020-06-19 Benjamin Fifield , Kosuke Imai , Jun Kawahara , Christopher T. Kenny

Partisan gerrymandering poses a threat to democracy. Moreover, the complexity of the districting task may exceed human capacities. One potential solution is using computational models to automate the districting process by optimizing…

Computers and Society · Computer Science 2020-06-30 Olivia Guest , Frank J. Kanayet , Bradley C. Love

Deciding whether a political districting plan was distorted by a hidden agenda, or whether it dilutes the voting power of some group, requires a neutral baseline for comparison. Remarkably, all nine U.S. Supreme Court justices have now…

Physics and Society · Physics 2025-11-18 Sarah Cannon , Moon Duchin , Dana Randall , Parker Rule

Partitioning a region into districts to favor a particular candidate or a party is commonly known as gerrymandering. In this paper, we investigate the gerrymandering problem in graph theoretic setting as proposed by Cohen-Zemach et al.…

Data Structures and Algorithms · Computer Science 2021-05-26 Sushmita Gupta , Pallavi Jain , Fahad Panolan , Sanjukta Roy , Saket Saurabh

Algorithmic and statistical approaches to congressional redistricting are becoming increasingly valuable tools in courts and redistricting commissions for quantifying gerrymandering in the United States. While there is existing literature…

Computers and Society · Computer Science 2021-11-18 Gilvir Gill

Random sampling of graph partitions under constraints has become a popular tool for evaluating legislative redistricting plans. Analysts detect partisan gerrymandering by comparing a proposed redistricting plan with an ensemble of sampled…

Applications · Statistics 2023-11-09 Cory McCartan , Kosuke Imai

Gerrymandering, the deliberate manipulation of electoral district boundaries for political advantage, is a persistent issue in U.S. redistricting cycles. This paper introduces and analyzes a new phenomenon, 'votemandering'- a strategic…

Computer Science and Game Theory · Computer Science 2023-08-17 Sanyukta Deshpande , Ian G Ludden , Sheldon H Jacobson

Why not have a computer just draw a map? This is something you hear a lot when people talk about gerrymandering, and it's easy to think at first that this could solve redistricting altogether. But there are more than a couple problems with…

Data Structures and Algorithms · Computer Science 2020-11-20 Amariah Becker , Justin Solomon

The outcome of elections is strongly dependent on the districting choices, making thus possible (and frequent) the gerrymandering phenomenon, i.e.\ politicians suitably changing the shape of electoral districts in order to win the…

Optimization and Control · Mathematics 2019-10-22 Alberto Saracco , Giorgio Saracco

Every representative democracy must specify a mechanism under which voters choose their representatives. The most common mechanism in the United States -- Winner takes all single-member districts -- both enables substantial partisan…

Computer Science and Game Theory · Computer Science 2026-02-23 Nikhil Garg , Wes Gurnee , David Rothschild , David Shmoys

This paper presents a novel mechanism to endogenously determine the fair division of a state into electoral districts in a two-party setting. No geometric constraints are imposed on voter distributions or district shapes; instead, it is…

Computer Science and Game Theory · Computer Science 2019-01-07 Jamie Tucker-Foltz
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