m重似星树的谱半径(英文)  

On the Spectral Radii of m-Starlike Tree

作　　者：吴廷增[1] 扈生彪[1] 

机构地区：[1]青海民族大学数学与统计学院,青海西宁810007

出　　处：《运筹学学报》2011年第3期45-50,共6页Operations Research Transactions

基　　金：National Natural Science Foundation of China(10861009);National commission of ethnic affairs research projects(10QH01)

摘　　要：仅有一个顶点的度大于2的树称为似星树.在一棵似星树的每个一度点粘接一棵似星树构成的图称为m重似星树.Gutman和L.Shi给出了似星树谱半径的一个界.在本文中我们给出了另外一个更简洁的证明方法并做了深入的讨论,同时给出了m重似星树谱半径的一个最好界.A tree is said to be starlike if exactly one of its vertices has degree larger than 2. A m-starlike tree is obtained by appending a starlike tree to every one terminus of a starlike tree So = S（mm,mo2, ..., m0△0）. Gutman and L. Shi give a bound of the spectral radii of starlike tree. In this paper, we give an another short proof and further discussions about this result. Sometime, we give a new upper bound of the spectral radii of m-starlike tree.

关 键 词：m重似星树 图的谱 谱半径 

分 类 号：O157.5[理学—数学]