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Real equiangular lines in dimension 18 and the Jacobi identity for complementary subgraphs
Journal of Combinatorial Theory Series A ( IF 0.9 ) Pub Date : 2023-09-08 , DOI: 10.1016/j.jcta.2023.105812 Gary R.W. Greaves , Jeven Syatriadi
中文翻译:
18 维实等角线和互补子图的雅可比恒等式
更新日期:2023-09-08
Journal of Combinatorial Theory Series A ( IF 0.9 ) Pub Date : 2023-09-08 , DOI: 10.1016/j.jcta.2023.105812 Gary R.W. Greaves , Jeven Syatriadi
We show that the maximum cardinality of an equiangular line system in 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 .
中文翻译:
18 维实等角线和互补子图的雅可比恒等式
我们证明了等角线系统的最大基数最多为 59。我们的证明包括雅可比恒等式在互补子图上的新颖应用。特别地,我们证明不存在邻接矩阵具有特征多项式的图。