摘要
定向图G^(σ)的斜能量指其斜邻接矩阵S(G^(σ))的所有特征值的绝对值之和.如果两个具有相同顶点数的定向图的斜能量相等,则称这两个定向图是等斜能量的.该文定义了定向图的广义顶点冠和广义邻接冠运算,并得到了相应定向图的斜谱,在此基础上,给出了构造新的具有不同斜谱但等斜能量的定向图类的两种方法.
The skew energy of an oriented graph G^(σ)is defined as the sum of absolute values of all eigenvalues of its skew adjacency matrix S(G^(σ)).Two oriented graphs with the same number of vertices are called skew-equienergetic if their skew energies are equal.In this paper,we generalize the definitions of corona and neighborhood corona of oriented graphs and obtain their skew spectra.On the base of these,two methods to construct new non-cospectral skew equienergetic oriented graphs are given.
作者
赵炳荧
冀孟达
王盟
ZHAO Bingying;JI Mengda;WANG Meng(School of Mathematics and Statistics,Northwestern Polytechnical University,Xi an 710129,China)
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2021年第4期507-511,共5页
Journal of Central China Normal University：Natural Sciences
基金
陕西省大学生创新创业训练计划项目(S201910699390)。
关键词
斜能量
等斜能量定向图
广义顶点冠
广义邻接冠
skew energy
skew equienergetic oriented graphs
generalized corona
generalized neighborhood corona
