关键词: 分块矩阵, 相邻矩阵, 随机矩阵, 最大特征值

Abstract:

We studied the limit of the largest eigenvalue of the  block adjacency matrix using the moment method and spectral theory in random matrix theory. Under some moments assumptions, we obtained a bound of the super limit of the largest eigenvalue.

Key words: block matrix, adjacency matrix, random matrix, largest eigenvalue