Some ResuIts on the Principal Eigenvector  

关于图的主特征向量的一些结论

作　　者：WU Chun-jie 

机构地区：[1]School of Minsheng College,Henan University,Kaifeng 475004,China

出　　处：《Chinese Quarterly Journal of Mathematics》2020年第4期401-409,共9页数学季刊（英文版）

摘　　要：For a simple connected graph G, let A(G) and Q(G) be the adjacency matrix and signless Laplacian matrix, respectively of G. The principal eigenvector of A(G)(resp.Q(G)) is the unit positive eigenvector corresponding to the largest eigenvalue of A(G)(resp. Q(G)). In this paper, an upper bound and lower bound for the sum of the squares of the entries of the principal eigenvector of Q(G) corresponding to the vertices of an independent set are obtained.

关 键 词：Signless Laplacian Principal eigenvector Independent set k-Regular Semiregular 

分 类 号：O187.1[理学—数学]