The Lemmens-Seidel conjecture and forbidden subgraphs

Meng Yue Cao; Jack H. Koolen; Yen Chi Roger Lin; Wei Hsuan Yu

doi:10.1016/j.jcta.2021.105538

The Lemmens-Seidel conjecture and forbidden subgraphs

Meng Yue Cao
, Jack H. Koolen^*
, Yen Chi Roger Lin
, Wei Hsuan Yu

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

5 引文斯高帕斯（Scopus）

摘要

In this paper we show that the conjecture of Lemmens and Seidel of 1973 for systems of equiangular lines with common angle arccos⁡(1/5) is true. Our main tool is forbidden subgraphs for smallest Seidel eigenvalue −5.

原文	英語
文章編號	105538
期刊	Journal of Combinatorial Theory. Series A
卷	185
DOIs	https://doi.org/10.1016/j.jcta.2021.105538
出版狀態	已發佈 - 2022 1月

ASJC Scopus subject areas

理論電腦科學
離散數學和組合
計算機理論與數學

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10.1016/j.jcta.2021.105538

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title = "The Lemmens-Seidel conjecture and forbidden subgraphs",

abstract = "In this paper we show that the conjecture of Lemmens and Seidel of 1973 for systems of equiangular lines with common angle arccos⁡(1/5) is true. Our main tool is forbidden subgraphs for smallest Seidel eigenvalue −5.",

keywords = "Equiangular lines, Forbidden subgraphs, Pillar method, Seidel matrices",

author = "Cao, \{Meng Yue\} and Koolen, \{Jack H.\} and Lin, \{Yen Chi Roger\} and Yu, \{Wei Hsuan\}",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2022",

month = jan,

doi = "10.1016/j.jcta.2021.105538",

language = "English",

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journal = "Journal of Combinatorial Theory. Series A",

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AU - Cao, Meng Yue

AU - Koolen, Jack H.

AU - Lin, Yen Chi Roger

AU - Yu, Wei Hsuan

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Y1 - 2022/1

N2 - In this paper we show that the conjecture of Lemmens and Seidel of 1973 for systems of equiangular lines with common angle arccos⁡(1/5) is true. Our main tool is forbidden subgraphs for smallest Seidel eigenvalue −5.

AB - In this paper we show that the conjecture of Lemmens and Seidel of 1973 for systems of equiangular lines with common angle arccos⁡(1/5) is true. Our main tool is forbidden subgraphs for smallest Seidel eigenvalue −5.

KW - Equiangular lines

KW - Forbidden subgraphs

KW - Pillar method

KW - Seidel matrices

UR - https://www.scopus.com/pages/publications/85114926419

UR - https://www.scopus.com/pages/publications/85114926419#tab=citedBy

U2 - 10.1016/j.jcta.2021.105538

DO - 10.1016/j.jcta.2021.105538

M3 - Article

AN - SCOPUS:85114926419

SN - 0097-3165

VL - 185

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

M1 - 105538

ER -

The Lemmens-Seidel conjecture and forbidden subgraphs

摘要

ASJC Scopus subject areas

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