The Lemmens-Seidel conjecture and forbidden subgraphs

Autor:	Yen Chi Roger Lin, Meng Yue Cao, Wei-Hsuan Yu, Jack H. Koolen
Rok vydání:	2022
Předmět:	Combinatorics Conjecture Computational Theory and Mathematics Discrete Mathematics and Combinatorics Equiangular lines Computer Science::Numerical Analysis Mathematics::Symplectic Geometry Eigenvalues and eigenvectors Theoretical Computer Science Mathematics
Zdroj:	Journal of Combinatorial Theory, Series A. 185:105538
ISSN:	0097-3165
DOI:	10.1016/j.jcta.2021.105538
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4e76f87565001315f06ed50e2811e21f https://doi.org/10.1016/j.jcta.2021.105538 Zobrazit plný text záznamu Full Text from ScienceDirect