Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773028 | Linear Algebra and its Applications | 2018 | 21 Pages |
Abstract
We develop the theory of equiangular lines in Euclidean spaces. Our focus is on the question of when a Seidel matrix having precisely three distinct eigenvalues has a regular graph in its switching class. We make some progress towards an answer to this question by finding some necessary conditions and some sufficient conditions. Furthermore, we show that the cardinality of an equiangular line system in 18 dimensional Euclidean space is at most 60.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gary R.W. Greaves,