Weighted scale-free networks induced by group preferential mechanism |
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Authors: | Jinying Tong Zhenzhong ZhangRongrong Dai |
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Institution: | a College of Science, Donghua University, Shanghai 201620, Chinab School of Mathematics, Central South University, Changsha 410075, Hunan, China |
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Abstract: | Based on the BBV model A. Barrat, M. Barthelemy, A. Vespignani, Phys. Rev. Lett. 92 (22) (2004)], we propose a weighted group preferential model, which is generated by the group preferential mechanism. We derive analytically the various statistical properties, such as the distribution of degree, strength and weight, the degree-strength relationship. Finally, we provide a contrast with the BBV model on the synchronization robustness and fragility through numerical simulation. |
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Keywords: | Weighted scale-free network Group preferential mechanism Degree distribution |
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