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

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.