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An edge-separating theorem on the second smallest normalized Laplacian eigenvalue of a graph and its applications

  • Published:2014-07 Issue: Volume:171 Page:104-115
  • ISSN:0166-218X
  • Container-title:Discrete Applied Mathematics
  • language:en
  • Short-container-title:Discrete Applied Mathematics

Author:

Li Jianxi,Guo Ji-Ming,Shiu Wai Chee,Chang An

Funder

NSF of China

NSF of Fujian

General Research Fund of Hong Kong

Faculty Research Grant of Hong Kong Baptist University

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference8 articles.

1. S. Butler, Eigenvalues and structures of graphs, Ph.D. Dissertation, University of California, San Diego, 2008.

2. An interlacing result on normalized Laplacians;Chen;SIAM J. Discrete Math.,2004

3. Spectral Graph Theory;Chung,1997

4. Spectra of Graphs;Cvetković,1980

5. The algebraic connectivity of graphs under perturbation;Guo;Linear Algebra Appl.,2010

Cited by 14 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Second Smallest and the Largest Normalized Laplacian Eigenvalues of a Graph;Acta Mathematicae Applicatae Sinica, English Series;2021-07

2. Convergence Details About k-DPP Monte-Carlo Sampling for Large Graphs;Sankhya B;2021-04-09

3. Normalized Laplacian spectrum of complete multipartite graphs;Discrete Applied Mathematics;2020-09

4. Normalized algebraic connectivity of graphs;Discrete Mathematics, Algorithms and Applications;2019-06

5. On the second largest normalized Laplacian eigenvalue of graphs;Applied Mathematics and Computation;2019-05
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