The study on a comprehensive evolving network model based on mechanisms of node otherness, node deletion and double preferential attachment
Ping Hu, Wang Binqing, Wen Wang, Liu Zhi-hua
Abstract
Ping Hu, Wang Binqing, Wen Wang, Liu Zhi-hua
Abstract
The theories on the complex evolving network models have been researched separately based on the mechanisms of node otherness, uniform node deletion and double preferential attachment (DPA). This paper integrated these three mechanisms that obviously exist in real networks, and proposed a comprehensive evolving network model based on these three mechanisms. The paper performed analytic deductions, calculated the degree distribution, and generalized the scale-free model. And the results show that the comprehensive model has the scale-free feature, and the three mechanisms have different influences on the degree distribution, which were also validated by simulations.
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The theories on the complex evolving network models have been researched separately based on the mechanisms of node otherness, uniform node deletion and double preferential attachment (DPA). This paper integrated these three mechanisms that obviously exist in real networks, and proposed a comprehensive evolving network model based on these three mechanisms. The paper performed analytic deductions, calculated the degree distribution, and generalized the scale-free model. And the results show that the comprehensive model has the scale-free feature, and the three mechanisms have different influences on the degree distribution, which were also validated by simulations.
Key concepts: Preferential attachment, Node (physics), Scale-free network, Computer science, Complex network, Degree distribution, Feature (linguistics), Scale (ratio)