Effects of Vertex Activity and Self-organized Criticality Behavior on a Weighted Evolving Network

Effects of vertex activity have been analyzed on a weighted evolving network. The network is characterized by the probability distribution of vertex strength, each edge weight and evolution of the strength of vertices with different vertex activities. The model exhibits self-organized criticality behavior. The probability distribution of avalanche size for different network sizes is also shown. In addition, there is a power law relation between the size and the duration of an avalanche and the average of avalanche size has been studied for different vertex activities.

[1]  A. Barabasi,et al.  Weighted evolving networks. , 2001, Physical review letters.

[2]  Wenxu Wang,et al.  Modeling the coevolution of topology and traffic on weighted technological networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Tang,et al.  Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[4]  P. Hui,et al.  Weighted scale-free networks with stochastic weight assignments. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Maya Paczuski,et al.  Nonconservative earthquake model of self-organized criticality on a random graph. , 2002, Physical review letters.

[6]  Alessandro Vespignani,et al.  Weighted evolving networks: coupling topology and weight dynamics. , 2004, Physical review letters.

[7]  A. Barabasi,et al.  Global organization of metabolic fluxes in the bacterium Escherichia coli , 2004, Nature.

[8]  Christensen,et al.  Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes. , 1992, Physical review letters.

[9]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[10]  S. Strogatz.  Exploring complex networks , 2001, Nature.

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

[12]  Sergey N. Dorogovtsev,et al.  Evolution of Networks: From Biological Nets to the Internet and WWW (Physics) , 2003 .

[13]  Bo Hu,et al.  General dynamics of topology and traffic on weighted technological networks. , 2005, Physical review letters.

[14]  P. Bak,et al.  Self-organized criticality. , 1988, Physical review. A, General physics.

[15]  Christensen,et al.  Scaling, phase transitions, and nonuniversality in a self-organized critical cellular-automaton model. , 1992, Physical review. A, Atomic, molecular, and optical physics.