混合图的埃尔米特-广义Randic拟拉普拉斯矩阵和埃尔米特-广义Randic关联能量  

Hermitian-general Randic quasi-Laplacian matrix and Hermitian-general Randic incidence energy of mixed graphs

作　　者：张海东 王维忠[1] ZHANG Hai-dong;WANG Wei-zhong(Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2022年第3期78-84,88,共8页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11561042,11961040);甘肃省自然科学基金资助项目(20JR5RA418)。

摘　　要：引入了混合图的埃尔米特-广义Randic拟拉普拉斯矩阵和埃尔米特-广义Randic关联矩阵,并给出了二者之间的关系;刻画了混合图的埃尔米特-广义Randic拟拉普拉斯矩阵的若干性质;将无向图的广义Randic关联能量的概念推广到了混合图的埃尔米特-广义Randic关联能量,得到了n阶混合图的该能量的上下界。The Hermitian-general Randic quasi-Laplacian matrix and the Hermitian-general Randic incidence matrix of mixed graphs are introduced,and the relationship between them is given;some properties of Hermitian-general Randic quasi-Laplacian matrix of mixed graphs are characterized.Moreover,the concept of general Randic incidence energy of undirected graphs is extended to the Hermitian-general Randic incidence energy of mixed graphs,and the upper and lower bounds of the Hermitian-general Randic incidence energy of n order mixed graphs are obtained.

关 键 词：混合图 埃尔米特-广义 Randic拟拉普拉斯矩阵 埃尔米特-广义 Randic关联能量 

分 类 号：O157.5[理学—数学]