Computation of Spectra of Large Networks

Date

2010-11-27

Author

Erdem, Özge
Karasözen, Bülent

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Many interacting complex systems in biology, physics, technology and social systems can be represented in a form of large networks. The networks are mathematically represented by graphs. A graph is usually represented by adjacency or Laplacian matrix. Many important features of the underlying structure and dynamics of them can be extracted from the analysis of the spectrum of graphs. Spectral analysis of the so called normalized Laplacian matrix of large networks has become popular in recent years. The Laplacian matrices of empirical networks are in form of unstructured large sparse matrices.

Subject Keywords

Directed and undirected graphs, Laplacian, Krylov methods, Eigenvalues

URI

https://hdl.handle.net/11511/54631

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Computation and analysis of spectra of large undirected networks Erdem, Özge; Karasözen, Bülent; Jost, Jürgen; Department of Scientific Computing (2010) Many interacting complex systems in biology, in physics, in technology and social systems, can be represented in a form of large networks. These large networks are mathematically represented by graphs. A graph is represented usually by the adjacency or the Laplacian matrix. Important features of the underlying structure and dynamics of them can be extracted from the analysis of the spectrum of the graphs. Spectral analysis of the so called normalized Laplacian of large networks became popular in the recent ...
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Citation Formats

Ö. Erdem and B. Karasözen, “Computation of Spectra of Large Networks,” 2010, vol. 1309, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54631.