剖分图的联图的距离矩阵相关谱  

The spectra of distance related matrices of some subdivision join graphs of regular graphs

作　　者：卢鹏丽[1] 栾睿 刘文智 LU Peng-li;LUAN Rui;LIU Wen-zhi(School of Computer and Communication,Lanzhou Univ.of Tech.,Lanzhou 730050,China)

机构地区：[1]兰州理工大学计算机与通信学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2022年第3期154-162,共9页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11361033,11861045)。

摘　　要：利用正则图的关联矩阵与其邻接矩阵及其线图的邻接矩阵间的关系,证明了两个正则图的剖分边边联图、剖分点点联图和剖分点边联图的距离谱、距离拉普拉斯谱和距离无符号拉普拉斯谱可表示为原图的邻接谱.By using the relationship of the incidence matrix and the adjacency matrices of a regular graph and its line graph,the spectra of the distance matrices,distance Laplacian matrices and distance signless Laplacian matrices of the subdivision-edge join,subdivision-vertex join,subdivision-(vertex-edge)join of two regular graphs are proved to be presented by the adjacency spectra of their original graphs.

关 键 词：距离谱 距离拉普拉斯谱 距离无符号拉普拉斯谱 

分 类 号：O157.5[理学—数学] O157.6[理学—基础数学]