38 citations · 100 across the 18 of their papers we have counts for
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math.CO2026
Short spherical -design curves
Emily J. King, Dustin G. Mixon
We study the minimum arclength of spherical -design curves, i.e., closed rectifiable curves on whose normalized arclength measure exactly integrates every polynomial of de…
math.CO2020
Uniquely optimal codes of low complexity are symmetric
Emily J. King, Dustin G. Mixon, Hans Parshall +1
We formulate explicit predictions concerning the symmetry of optimal codes in compact metric spaces. This motivates the study of optimal codes in various spaces where these predict…
math.CO2016★ 3 cited
New Upper Bounds for Equiangular Lines by Pillar Decomposition
Emily J. King, Xiaoxian Tang
We derive a procedure for computing an upper bound on the number of equiangular lines in various Euclidean vector spaces by generalizing the classical pillar decomposition develope…