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

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

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	???core.languages.en_GB???
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	已出版 - 1月 2022

存取文件

10.1016/j.jcta.2021.105538

各式樣方法在等角直線叢(2/2)
Yu, W.
1/08/19 → 31/07/20
研究計畫: Research

引用此

@article{21a0b5044aae4271a8b2998e9e56f98c,

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 = "???core.languages.en_GB???",

volume = "185",

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

issn = "0097-3165",

}

TY - JOUR

T1 - The Lemmens-Seidel conjecture and forbidden subgraphs

AU - Cao, Meng Yue

AU - Koolen, Jack H.

AU - Lin, Yen Chi Roger

AU - Yu, Wei Hsuan

PY - 2022/1

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 - http://www.scopus.com/inward/record.url?scp=85114926419&partnerID=8YFLogxK

U2 - 10.1016/j.jcta.2021.105538

DO - 10.1016/j.jcta.2021.105538

M3 - 期刊論文

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

存取文件

指紋

專案

各式樣方法在等角直線叢(2/2)

引用此