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An impossibility theorem for gerrymandering

2017/10/11 by Alexeev, Boris, Mixon, Dustin G.
#Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Metric Geometry (math.MG) #Physics and Society (physics.soc-ph)

paper · doi:10.48550/arxiv.1710.04193

Abstract

The U.S. Supreme Court is currently deliberating over whether a proposed mathematical formula should be used to detect unconstitutional partisan gerrymandering. We show that in some cases, this formula will only flag bizarrely shaped districts as potentially constitutional.

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