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.