Autor:	Greaves, Gary R. W., Syatriadi, Jeven
Rok vydání:	2022
Předmět:	Mathematics - Combinatorics
Zdroj:	Journal of Combinatorial Theory, Series A, Volume 201, January 2024, 105812
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jcta.2023.105812
Popis:	We show that the maximum cardinality of an equiangular line system in $\mathbb R^{18}$ is at most $59$. Our proof includes a novel application of the Jacobi identity for complementary subgraphs. In particular, we show that there does not exist a graph whose adjacency matrix has characteristic polynomial $(x-22)(x-2)^{42} (x+6)^{15} (x+8)^2$. Comment: 26 pages. Updated to match the published, journal version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.04267 Zobrazit plný text záznamu View this record from Arxiv