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1. Effects on the normalized Laplacian spectral radius of non-bipartite graphs under perturbation and their applications.

Author

Guo, Ji-Ming, Li, Jianxi, and Shiu, Wai Chee

Subjects
*BIPARTITE graphs, *LAPLACIAN matrices, *PERTURBATION theory, *EIGENVALUES, *EXPONENTIAL stability
Abstract

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. [ABSTRACT FROM PUBLISHER]

Published
2016
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