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arXiv 1809.00729physics.soc-ph
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空间能促进多样性吗?

Can Spatiality Promote Diversity?

Bruno Messias, Filipi N. Silva, Cesar H. Comin, Luciano da F. Costa

摘要:

在网络上运行的真实世界动态可以根据其各自的多样性或状态值的异质性来表征。空间网络可以理解为表现出有限小世界特征的网络。在目前的工作中,我们认为,网络的空间性可以提高各自的展开动态的多样性。这也意味着小世界属性倾向于减少多样性。我们说明了这一猜想,通过模拟一种类型的Sznajd动态在瞬态政权的Watts-Strogatz网络与不同的重布线水平。结果表明,小世界性质取代空间性后,系统的状态多样性显著降低。

英文摘要:

Real-world dynamics running on networks can be characterized in terms of their respective diversity, or heterogeneity of state values. Spatial networks can be understood as networks exhibiting limited small world characteristics. In the present work we argue that network spatiality can enhance the diversity of respectively unfolding dynamics. This also means that the small world property tends to reduce diversity. We illustrate this conjecture by simulating one type of Sznajd dynamics at the transient regime on Watts-Strogatz networks with varying rewiring levels. The obtained results show a marked reduction of state diversity as spatiality is replaced by the small world property.

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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