ヨシノ　キヨト   吉野　聖人    所属   東邦大学  理学部 情報科学科    職種   講師
論文種別	原著
言語種別	英語
査読の有無	査読あり
表題	Maximality of Seidel matrices and switching roots of graphs
掲載誌名	正式名：Graphs and Combinatorics
掲載区分	国外
巻・号・頁	37(5),pp.1491-1507
著者・共著者	Meng-Yue Cao,Jack H. Koolen,Akihiro Munemasa,Kiyoto Yoshino
担当区分	筆頭著者
発行年月	2021/02/24
概要	In this paper, we discuss maximality of Seidel matrices with a fixed largest eigenvalue. We present a classification of maximal Seidel matrices of largest eigenvalue $3$, which gives a classification of maximal equiangular lines in a Euclidean space with angle $\arccos1/3$. Motivated by the maximality of the exceptional root system $E_8$, we define strong maximality of a Seidel matrix, and show that every Seidel matrix achieving the absolute bound is strongly maximal.
DOI	10.1007/s00373-021-02359-w
arXiv ID	arXiv:2102.11989
DBLP ID	journals/gc/CaoKMY21
PermalinkURL	http://arxiv.org/abs/2102.11989v1
researchmap用URL	http://arxiv.org/pdf/2102.11989v1