图C_(n)的angle矩阵和main angle矩阵及图C_(n)oC_(m)的谱

The Angle Matrix and Main Angle Matrix of Graph Cn and the Spectrum of Graph C_(n)oC_(m)

一个图的谱定义为它的邻接矩阵的所有特征值的集合。本文假定C_(n)和圈C_(m)为不相交的两个圈,构造新图coronaC_(n)oC_(m),应用矩阵分块和Kronecker矩阵乘法运算得到其谱。同时计算出圈C_(n)的angle矩阵B(C_(n))和main angle矩阵b(C_(n))。

The spectrum of a graph is defined as the set of all eigenvalues of its adjacency matrix.This paper assumes that C_(n) and cycle C_(m) are disjoint cycles,constructs a new graph corona C_(n)oC_(m),and obtains its spectrum by matrix partition and Kronecker matrix multiplication.In addition,the angle matrix B(C_(n)) and the main angle matrix b(C_(n)) of the cycle C_(n) are calculated.