文献类型：期刊文献

英文题名：Effects on the normalized Laplacian spectral radius of non-bipartite graphs under perturbation and their applications

作者：Guo, Ji-Ming[1];Li, Jianxi[2];Shiu, Wai Chee[3]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai, Peoples R China;[2]Minnan Normal Univ, Dept Math & Informat Sci, Zhangzhou, Peoples R China;[3]Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Peoples R China

年份：2016

卷号：64

期号：11

起止页码：2177

外文期刊名：LINEAR & MULTILINEAR ALGEBRA

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000382279100005)】；

基金：This work was partially supported by NSF of China [grant number 11371372], [grant number 11101358]; NSF of Fujian [grant number 2014J01020]; China Postdoctoral Science Foundation [grant number 2014M551831]; General Research Fund of Hong Kong; and Faculty Research Grant of Hong Kong Baptist University.

语种：英文

外文关键词：normalized Laplacian spectral radius; non-bipartite graph; unicyclic graph

摘要：The normalized Laplacian eigenvalues of a network play an important role in its structural and dynamical aspects associated with the network. In this paper, we consider how the normalized Laplacian spectral radius of a non-bipartite graph behaves by several graph operations. As an example of the application, the smallest normalized Laplacian spectral radius of non-bipartite unicyclic graphs with fixed order is determined.