文献类型：期刊文献

英文题名：Bounds on normalized Laplacian eigenvalues of graphs

作者：Li, Jianxi[1,2];Guo, Ji-Ming[3];Shiu, Wai Chee[4]

机构：[1]Minnan Normal Univ, Sch Math & Stat, Zhangzhou, Fujian, Peoples R China;[2]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350002, Fujian, Peoples R China;[3]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[4]Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China

年份：2014

外文期刊名：JOURNAL OF INEQUALITIES AND APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000347464700003)】；

基金：The authors would like to thank the anonymous referees for their constructive corrections and valuable comments on this paper, which have considerably improved the presentation of this paper. This work was supported by NSF of China (Nos. 11101358, 61379021, 11371372); NSF of Fujian (No. 2014J01020); China Postdoctoral Science Foundation (No. 2014M551831); General Research Fund of Hong Kong; Faculty Research Grant of Hong Kong Baptist University.

语种：英文

外文关键词：normalized Laplacian eigenvalue; largest eigenvalue; bound

摘要：Let G be a simple connected graph of order n, where n >= 2. Its normalized Laplacian eigenvalues are 0 = lambda(1) <= lambda(2) <= ... <= lambda(n) <= 2. In this paper, some new upper and lower bounds on lambda(n) are obtained, respectively. Moreover, connected graphs with lambda(2) = 1 (or lambda(n-1) = 1) are also characterized.