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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Article number	105538
Journal	Journal of Combinatorial Theory. Series A
Volume	185
DOIs	https://doi.org/10.1016/j.jcta.2021.105538
State	Published - Jan 2022

Keywords

Equiangular lines
Forbidden subgraphs
Pillar method
Seidel matrices

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10.1016/j.jcta.2021.105538

Various Methods on Equiangular Lines(2/2)
Yu, W.-H. (PI)
1/08/19 → 31/07/20
Project: Research

Cite this

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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}",

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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

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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

Abstract

Keywords

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Projects

Various Methods on Equiangular Lines(2/2)

Cite this