166 citations · 655 across the 82 of their papers we have counts for
8 papers · 1 filter
Partisan gerrymandering with geographically compact districts
Boris Alexeev, Dustin G. Mixon
Bizarrely shaped voting districts are frequently lambasted as likely instances of gerrymandering. In order to systematically identify such instances, researchers have devised sever…
Equiangular tight frames that contain regular simplices
Matthew Fickus, John Jasper, Emily J. King +1
An equiangular tight frame (ETF) is a type of optimal packing of lines in Euclidean space. A regular simplex is a special type of ETF in which the number of vectors is one more tha…
An impossibility theorem for gerrymandering
Boris Alexeev, Dustin G. Mixon
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 som…
Monte Carlo approximation certificates for k-means clustering
Dustin G. Mixon, Soledad Villar
Efficient algorithms for -means clustering frequently converge to suboptimal partitions, and given a partition, it is difficult to detect -means optimality. In this paper, we…
Optimal line packings from finite group actions
Joseph W. Iverson, John Jasper, Dustin G. Mixon
We provide a general program for finding nice arrangements of points in real or complex projective space from transitive actions of finite groups. In many cases, these arrangements…
A brief introduction to equi-chordal and equi-isoclinic tight fusion frames
Matthew Fickus, John Jasper, Dustin G. Mixon +1
Equi-chordal and equi-isoclinic tight fusion frames (ECTFFs and EITFFs) are both types of optimal packings of subspaces in Euclidean spaces. In the special case where these subspac…