构造等斜能量定向图的两种方法  

Two methods of constructing skew equienergetic oriented graphs

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)

机构地区：[1]西北工业大学数学与统计学院,西安710129

出　　处：《华中师范大学学报（自然科学版）》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)。

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.

关 键 词：斜能量 等斜能量定向图 广义顶点冠 广义邻接冠 

分 类 号：O157.5[理学—数学]