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Understanding the diversity on power-law-like degree distribution in social networks

Xiao-Ting Xu, Nianxin Wang, Jun Bian and Bin Zhou

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 576-581

Abstract: The diversity of power-law-like degree distribution in social networks has been discovered in a large number of empirical studies. Analyzing the origin of power-law-like the degree distribution diversity is greatly important for understanding the law of human social interaction. In our work, the diversity of power-law-like degree distribution is demonstrated empirically in social networks. The origin of the degree distribution diversity is analyzed from the point of the social stratification and the bidirectional preferential attachment among individuals. We proposed a model to reproduce the diversity of degree distribution in social networks, and the analytic solution of the model was derived. The simulation results indicate that the evolution time of social network and the biggest social hierarchy gap among individuals may be the origin which results in the power-law-like degree distribution diversity. Therefore, the model is helpful to comprehend the law of human social interaction.

Keywords: Social network; Degree distribution; Power-law-like; Social stratification; Bidirectional preferential attachment (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:576-581

DOI: 10.1016/j.physa.2019.03.104

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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