图的特征值极限点集合的一些性质

Properties of the set of the limit points of eigenvalues on graphs.

在图的特征值分布的研究中 ,用 Ramsey定理得到了图的第 t个最大特征值极限点的下界和第t个最小特征值极限点的上界 ,给出了第 t个最小特征值集合的最大元 。

In the study of the distribution of eigenvalues of graphs, by using Ramasy theory ,lower bounds of the limit points of the t-th largest eigenvalues of graphs and upper bounds of the limit points of the t-th smallest eigenvalues of graphs are given, and also the maximal element of the set of the t-th smallest eigenvalues is given. Some relations between the set of limit points of eigenvalues of graphs are obtained.