混合图的埃尔米特-拟拉普拉斯能量的界

Bounds on the Hermitian-Laplacian-energy-like Invariant of A Mixed Graph

混合图M的埃尔米特-拟拉普拉斯能量定义为其埃尔米特-拉普拉斯矩阵所有特征值的算术平方根之和,即■.利用M的顶点数、边数及最大度等一些图的不变量,刻画了M的埃尔米特-拟拉普拉斯能量的界.

The Hermitian-Laplacian-energy-like invariant(HLEL for short)of a mixed graph M is defined as the sum of the arithmetic square roots of all eigenvalues of its Hermite-Laplacian matrix,i.e.,HLEL(M)=∑n i=1 u i.Some bounds to HLEL are mainly pointed out using the number of vertices,edges,and the maximum degrees of a mixed graph M.