关键词: 树, 最大度, 谱半径, 树, 最大度, 谱半径

Abstract: This paper discussed the spectral radius of trees with fixed number of vertices and fixed maximal degree,\ and gave the upper bound and lower bound of the spectral radius of those trees respectively. Furthermore, the minimal spectral radius were obtained at trees $T’_\Delta, T_\Delta $ and $T_\Delta^*$.

Key words: maximal degree, spectral radius, tree, maximal degree, spectral radius