@article{b0e866032af44bf286952ab3784d15d4,
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 = "Funding Information: J.H. Koolen is partially supported by the National Natural Science Foundation of China (No. 12071454 ), Anhui Initiative in Quantum Information Technologies (No. AHY150000 ) and the the National Key R and D Program of China (No. 2020YFA0713100 ). Funding Information: W.-H. Yu is partially supported by the Ministry of Science and Technology of Taiwan (No. 107-2115-M-008-010-MY2 ). Funding Information: Y.-C. R. Lin is partially supported by the Ministry of Science and Technology of Taiwan (No. 108-2115-M-003-002 ). Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",
year = "2022",
month = jan,
doi = "10.1016/j.jcta.2021.105538",
language = "English",
volume = "185",
journal = "Journal of Combinatorial Theory. Series A",
issn = "0097-3165",
publisher = "Academic Press Inc.",
}