摘要
对于一个有向图D,它的能量E(D)定义为对应邻接矩阵的所有特征值实部的绝对值之和.本文利用复分析的方法给出了有向图能量的一个广义Coulson型积分公式,通过这个公式建立了有向图的能量与有向图的特征多项式之间的联系.
For a simple digraph D, the energy E(D) is defined to be the sum of the absolute values of the real part of all eigenvalues of its adjacent matrix. In this paper, we give a general Coulson-type integral formula for the energy of digraphs by using the method of complex analysis. This integral formula establishes the relationship between the energy and the characteristic polynomial of the digraphs.
作者
高楠
吕伟
GAO Nan;LV Wei(Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072;College of Science, Xi'an Shiyou University, Xi'an 710065)
出处
《工程数学学报》
CSCD
北大核心
2016年第5期534-540,共7页
Chinese Journal of Engineering Mathematics
基金
The National Natural Science Foundation of China(11426175)
the Foundation of Shaanxi Educational Committee(14JK1578)
the Foundation of Xi’an Shiyou University(2014BS14)
