Saturated equiangular lines in Euclidean spaces

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 graph theoretic approach to prove that all the currently known cons...

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Bibliographic Details
Published in:arXiv.org 2018-01
Main Authors: Yen-chi, Roger Lin, Wei-Hsuan, Yu
Format: Article
Language:English
Subjects:
Euclidean geometry
Euclidean space
Online Access:Get full text
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Summary: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 graph theoretic approach to prove that all the currently known construction for maximum equiangular lines in \(\mathbb R^d\) cannot add another line to form a larger equiangular set of lines if \(14 \leq d \leq 20\) and \(d \neq 15\).
ISSN:2331-8422