加权冠图的无符号拉普拉斯谱和正规拉普拉斯谱  

Signless Laplacian Spectrum and Normalized Laplacian Spectrum of the Weighted Corona Graphs

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

机构地区：[1]兰州交通大学数理学院,兰州730070

出　　处：《西南大学学报（自然科学版）》2021年第8期77-83,共7页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11961040,11561042);甘肃省自然科学基金项目(20JR5RA418).

摘　　要：刻画了G_(2)为正则图时,加权冠积图G_(1) G_(2)的无符号拉普拉斯谱,以及G_(1)和G_(2)都为正则图时,G_(1) G_(2)的正规拉普拉斯谱.借助数学归纳法,将所得关于G_(1) G_(2)的结果加以推广,得到了一般加权冠图G^((m))的相应结论.This paper describes the signless Laplacian spectrum of the weighted corona product graph G_(1)G_(2) when G_(2) is a regular graph,and the normalized Laplacian spectrum of G_(1)G_(2) when G_(1)and G_(2) are regular graphs.By means of mathematical induction,the conclusion of the weighted corona product graph G_(1)G_(2) is generalized to the corresponding conclusion of the general weighted corona graphs G^((m)).

关 键 词：无符号拉普拉斯谱 正规拉普拉斯谱 加权冠积图 

分 类 号：O157.5[理学—数学]