Discrete Mathematics Seminar Series
ICERM at Brown University
Saturated equiangular lines in Euclidean space
ABSTRACT: A set of lines through the origin in a Euclidean space is called equiangular when any pair of lines from the set intersects with each other at a common angle. We study the maximum size of equiangular lines in Euclidean space and use a graph-theoretic approach to prove that all the currently best known constructions in d-dimensional Euclidean space cannot be extended to form a larger equiangular set of lines for the cases d=14, 16, 17, 18, 19 and 20.