正则图字典积的任意幂的无符号和正规拉普拉斯谱  

Signless and normalized Laplacian spectra of arbitrary powers of lexicographic products of regular graphs

作　　者：魏斌 王维忠[1] WEI Bin;WANG Wei-zhong(Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《陕西理工大学学报（自然科学版）》2020年第2期87-92,共6页Journal of Shaanxi University of Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(11561042)。

摘　　要：对两个正则图G和H的字典积H[G]的无符号拉普拉斯谱和正规拉普拉斯谱,通过数学归纳法进行推广,得到了正则图字典积H[G]的任意幂H k[G]的无符号拉普拉斯谱和正规拉普拉斯谱,并给出了所得结果的两个应用例子。In this paper,the signless Laplacian spectra and normalized Laplacian spectra of the lexicographic products H[G]of two regular graphs G and H are generalized by mathematical induction.The signless Laplacian spectra and normalized Laplacian spectra of arbitrary powers H k[G]of the lexicographic products of regular graphs are obtained,and two applications of the results are given.

关 键 词：无符号拉普拉斯谱 正规拉普拉斯谱 字典积 

分 类 号：O157.5[理学—数学]