Weighted scale-free networks induced by group preferential mechanism

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, st...

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Bibliographic Details
Published in:Physica A 2011-05, Vol.390 (10), p.1826-1833
Main Authors: Tong, Jinying, Zhang, Zhenzhong, Dai, Rongrong
Format: Article
Language:English
Subjects:
Computer simulation
Degree distribution
Fragility
Group preferential mechanism
Mathematical analysis
Mathematical models
Networks
Robustness
Statistical mechanics
Synchronism
Synchronization
Weighted scale-free network
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Summary: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. ► We propose a weighted group preferential model (WGP model). ► We research the topology of the WGP model, and derive the statistical properties. ► We provide a contrast with the BBV model on synchronization robustness and fragility.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2010.12.024