一棵树称为T-型树,如果其恰有一个最大度为3的顶点.令T(l1,l2,l3)表示唯一的一棵T-型树,使得其3-度顶点到每个1-度顶点的距离分别为l1,l2,l3.本文证明T(1,l,m)(l,m≥1)可由其相邻谱唯一决定.
A tree is said to be T-like if exactly one of its vertices has maximal degree 3.Let T(l_1,l_2,l_3) denote the unique Tlike tree,such that the distance between the vertex of degree 3 and each vertex of degree 1 is l_1,l_2,l_3 respectively.In this paper,we prove that T(1,l,m)(l,m≥1) is uniquely determined by its adjacency spectrum.