@article{695715b151d746df9db2a5086ac35df8,
title = "An edge-separating theorem on the second smallest normalized laplacian eigenvalue of a graph and its applications",
abstract = "Let λ2(G) be the second smallest normalized Laplacian eigenvalue of a graph G. In this paper, we investigate the behavior on λ2(G) when the graph G is perturbed by separating an edge. This result can be used to determine all trees and unicyclic graphs with λ2(G)≥1-22. Moreover, the trees and unicyclic graphs with λ2(G)=1-22 are also determined, respectively.",
keywords = "Edge-separating, Second smallest normalized Laplacian eigenvalue, Tree, Unicyclic graph",
author = "Jianxi Li and Guo, {Ji Ming} and Shiu, {Wai Chee} and An Chang",
note = "Funding Information: Partially supported by NSF of China (Nos. 11101358 , 61379021 , 11371372 ); NSF of Fujian (Nos. 2011J05014 , 2011J01026 ); Project of Fujian Education Department (No. JA11165); Postdoctoral Foundation of Fuzhou University; General Research Fund of Hong Kong ; Faculty Research Grant of Hong Kong Baptist University . ",
year = "2014",
month = jul,
day = "10",
doi = "10.1016/j.dam.2014.02.020",
language = "English",
volume = "171",
pages = "104--115",
journal = "Discrete Applied Mathematics",
issn = "0166-218X",
publisher = "Elsevier",
}