文献类型：期刊文献

英文题名：Note on the kth Laplacian eigenvalues of trees with perfect matchings

作者：Yuan, Xi-Ying[1];Guo, Ji-Ming[2]

机构：[1]Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2015

卷号：483

起止页码：115

外文期刊名：LINEAR ALGEBRA AND ITS APPLICATIONS

收录：;EI(收录号：20152400927648);WOS:【SCI-EXPANDED(收录号:WOS:000360416700006)】；

基金：Research supported by NSFC (Nos. 11101263, 11371372), and by a grant of "The First-class Discipline of Universities in Shanghai".

语种：英文

外文关键词：Tree; Perfect matching; kth Laplacian eigenvalue

摘要：Denote by mu(k)(T) the kth Laplacian eigenvalue of tree T. Let T-n be the set of all trees of order n with perfect matchings. In this paper, we characterize the tree T in T-4t with mu(2)(T) = t+2+root t(2)+4/2 and the tree in T-6t with mu(3)(T) = t+2+root t(2)+4/2. These results affirm Problem of J.X. Li, W.C. Shin, A. Chang (2010) [5] for the cases k = 2 and k = 3, respectively. (C) 2015 Published by Elsevier Inc.