Formation of patterns from complex networks

We propose a method for visualization of the characteristic feature of complex networks, which displays their static structures, growing processes, and flows on the networks. The method is based on appropriate coloring of edges of network graphs. Applying the method on models of complex networks and some real-world networks, we show several characteristic patterns in many aspects of networks. These patterns are varied by controlling some parameters for the networks, or the network models themselves.

[1]  Jean R. Hertzberg,et al.  Images of fluid flow: Art and physics by students , 2005, J. Vis..

[2]  V. Eguíluz,et al.  Growing scale-free networks with small-world behavior. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Susumu Shirayama,et al.  A New Analysis Method for Complex Network Based on Dynamics of Spin Diffusion , 2006, International Conference on Computational Science.

[4]  Edward M Marcotte,et al.  LGL: creating a map of protein function with an algorithm for visualizing very large biological networks. , 2004, Journal of molecular biology.

[5]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[6]  Kay C. Wiese,et al.  Graph Drawing Tools for Bioinformatics Research: An Overview , 2006, 19th IEEE Symposium on Computer-Based Medical Systems (CBMS'06).

[7]  Katsumi Aoki,et al.  Jomon pottery observed from the point of view of fluid mechanics , 2004, J. Vis..

[8]  Heidrun Schumann,et al.  Visualizing Graphs - A Generalized View , 2006, Tenth International Conference on Information Visualisation (IV'06).

[9]  Mark E. J. Newman,et al.  Structure and Dynamics of Networks , 2009 .

[10]  M E J Newman,et al.  Finding and evaluating community structure in networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  A. Vázquez.  Growing network with local rules: preferential attachment, clustering hierarchy, and degree correlations. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.