一类混合图的埃尔米特-Randi能量

Hermitian-Randi Energy of a Class of Mixed Graphs

设图G_1∨G2是在有向图G_1的每个顶点与有向图G2的所有顶点之间添加一条无向边而得到的混合图.主要给出了混合图G_1∨G2的埃尔米特-Randi矩阵的特征多项式,刻画了图G_1、G2的埃尔米特-Randi能量与混合图G_1∨G2的埃尔米特-Randi能量之间的关系.

Let G1∨G2 be a mixed graph which is obtained by adding an undirected edge between each vertex of a directed graph G1 and all vertices of a directed graph G2 . In this paper, the characteristic polynomial of the Hermitian-Randic matrix of the mixed graph G1∨G2 is given, and the relationship between the Hermitian-Randic energies of graph G1、G2 and the mixed graph G1∨G2 is depicted.