Equiangular line systems and switching classes containing regular graphs

• Main Author: Greaves, Gary Royden Watson
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2019
• Subjects: Equiangular Lines; DRNTU::Science::Mathematics; Seidel Matrix
• Online Access: https://hdl.handle.net/10356/104621; http://hdl.handle.net/10220/47869
• Institution: Nanyang Technological University

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 a...