Equiangular line systems and switching classes containing regular graphs
Equiangular line systems and switching classes containing regular graphs
复制标题
等角线系统和包含正则图的切换类
DOI：
10.1016/j.laa.2017.09.008
复制
发表时间：
2016
影响因子：
1.1
通讯作者：
Gary R. W. Greaves
中科院分区：
文献类型：
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作者：
Gary R. W. Greaves
我们发展了欧氏空间中的等角线理论。我们关注的问题是，一个恰好有三个不同特征值的塞德尔矩阵何时在其切换类中有一个正则图。通过找到一些充要条件和充分条件，我们在回答这个问题上取得了一些进展。此外，我们还证明了18维欧氏空间中等角线系的基数不超过60。
We develop the theory of equiangular lines in Euclidean spaces. Our focus is on the question of when a Seidel matrix having precisely three distinct eigenvalues has a regular graph in its switching class. We make some progress towards an answer to this question by finding some necessary conditions and some sufficient conditions. Furthermore, we show that the cardinality of an equiangular line system in 18 dimensional Euclidean space is at most 60.