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arXiv 1301.0259physics.soc-phcs.SIphysics.data-an
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三元闭合动力学驱动社会多元网络中的标度律

Triadic closure dynamics drives scaling-laws in social multiplex networks

Peter Klimek, Stefan Thurner

摘要:

社交网络的几个结构特征,如度分布,附件核的标度,聚类系数作为节点度的函数表现出标度律。到目前为止,人们还没有详细了解这些标度律是否以及如何相互关联,更不用说是否可以通过一个共同的动力学原理来理解它们了。我们提出了一个简单的模型,固定网络的形成,并表明,上述三个标度关系遵循三元封闭的自然后果。该模型的有效性进行了测试,从一个良好的研究大型多人在线游戏的多路数据。我们发现,该模型可以同时解释友谊网络、通信网络和交易网络的多重数据中观察到的三个标度指数。这些结果表明,三元封闭可以被确定为社会多元化网络形成的基本动力学原理之一。

英文摘要:

Social networks exhibit scaling-laws for several structural characteristics, such as the degree distribution, the scaling of the attachment kernel, and the clustering coefficients as a function of node degree. A detailed understanding if and how these scaling laws are inter-related is missing so far, let alone whether they can be understood through a common, dynamical principle. We propose a simple model for stationary network formation and show that the three mentioned scaling relations follow as natural consequences of triadic closure. The validity of the model is tested on multiplex data from a well studied massive multiplayer online game. We find that the three scaling exponents observed in the multiplex data for the friendship, communication and trading networks can simultaneously be explained by the model. These results suggest that triadic closure could be identified as one of the fundamental dynamical principles in social multiplex network formation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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