张建斌. 给定悬挂点的非像星树的谱半径[J]. 华南师范大学学报(自然科学版), 2011, (3).
引用本文: 张建斌. 给定悬挂点的非像星树的谱半径[J]. 华南师范大学学报(自然科学版), 2011, (3).
On the spectral radius of non-starlike trees with given number of pendent vertices[J]. Journal of South China Normal University (Natural Science Edition), 2011, (3).
Citation: On the spectral radius of non-starlike trees with given number of pendent vertices[J]. Journal of South China Normal University (Natural Science Edition), 2011, (3).

给定悬挂点的非像星树的谱半径

On the spectral radius of non-starlike trees with given number of pendent vertices

  • 摘要: 设\mathscrT_n,k表示具有n个顶点和恰有k个悬挂点的非像星树的集合, 利用比较特征多项式的方法刻画出了\mathscrT_n,k中谱半径最大的树。

     

    Abstract: Let \mathscrT_n,k denote the set of all non-starlike trees with n vertices and exactly k pendent vertices. By comparing the characteristic polynomials of graphs,the tree with maximal spectral radius among \mathscrT_n,k is determined.

     

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