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

Effects of vertex activity have been analyzed on a weightedevolving network. The network is characterized by the probabilitydistribution of vertex strength, each edge weight and evolution ofthe strength of vertices with different vertex activities. The model exhibits self-organized criticality behavior. Theprobability 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.