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《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (3): 78-84.doi: 10.6040/j.issn.1671-9352.0.2021.516

• • 上一篇    

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

张海东,王维忠*   

  1. 兰州交通大学数理学院, 甘肃 兰州 730070
  • 发布日期:2022-03-15
  • 作者简介:张海东(1996— ), 男, 硕士研究生, 研究方向为代数图论. E-mail:sxzhd0055@163.com *通信作者简介:王维忠(1976— ), 男, 博士, 教授, 研究方向为代数图论. E-mail:wangwzh@mail.lzjtu.cn
  • 基金资助:
    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)

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

ZHANG Hai-dong, WANG Wei-zhong*   

  1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2022-03-15

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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。

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

Abstract: 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.

Key words: mixed graphs, Hermitian-general Randic quasi-Laplacian matrix, Hermitian-general Randic incidence energy

中图分类号: 

  • O157.5
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[1] 王维忠,周琨强. 混合图的埃尔米特-关联能量[J]. 《山东大学学报(理学版)》, 2019, 54(6): 53-58.
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