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The Laplacian Spectra of Graphs and Complex Networks

The paper is a brief survey of some recent new results and progress of the Laplacian spectra of graphs and complex networks (in particular, random graph and the small world network). The main contents contain the spectral radius of the graph Laplacian for given a degree sequence, the Laplacian coefficients, the algebraic connectivity and the graph doubly stochastic matrix, and the spectra of random graphs and the small world networks. In addition, some questions are proposed.

preprint2011arXivOpen access
Ya-Hong ChenRong-Ying PanXiao-Dong Zhang
math.COSocial and Information Networksphysics.soc-phphysics.data-an
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Open access3 authors4 topics
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Ya-Hong ChenRong-Ying PanXiao-Dong Zhang

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