关于图的拉普拉斯能量的若干结果(英文)

Some results on the Laplacian energy of a graph

研究图的拉普拉斯能量和拉普拉斯矩阵的奇异值之间的关系。确定了图的拉普拉斯能量的界,以及边和点的去除对能量值的影响。所得结果可用于研究理论化学中的分子能量。

This paper studied the relation between the Lapacian energy with the singular values of the Laplacian matrix and obtain some results on the bound of the Laplacian energy on a graph. Changes of the energy caused by deletion of edges and vertices of a graph were also studied. The results may help to have a better understanding of π-electron energy in a molecule in theoretical chemistry.