混合图的埃尔米特-广义Randic拟拉普拉斯矩阵和埃尔米特-广义Randic关联能量

Hermitian-general Randic quasi-Laplacian matrix and Hermitian-general Randic incidence energy of mixed graphs

引入了混合图的埃尔米特-广义Randic拟拉普拉斯矩阵和埃尔米特-广义Randic关联矩阵,并给出了二者之间的关系;刻画了混合图的埃尔米特-广义Randic拟拉普拉斯矩阵的若干性质;将无向图的广义Randic关联能量的概念推广到了混合图的埃尔米特-广义Randic关联能量,得到了n阶混合图的该能量的上下界。

The Hermitian-general Randic quasi-Laplacian matrix and the Hermitian-general Randic incidence matrix of mixed graphs are introduced,and the relationship between them is given;some properties of Hermitian-general Randic quasi-Laplacian matrix of mixed graphs are characterized.Moreover,the concept of general Randic incidence energy of undirected graphs is extended to the Hermitian-general Randic incidence energy of mixed graphs,and the upper and lower bounds of the Hermitian-general Randic incidence energy of n order mixed graphs are obtained.