The Laplacian Spectra of Graphs and Complex Networks

Details The Laplacian Spectra of Graphs and Complex Networks The Laplacian Spectra of Graphs and Complex Networks

2011-11-12

arxiv.org/abs/1111.2896v1

Mathematics

Combinatorics

17 pages

Scientific paper

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.

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