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arXiv 1305.7296nlin.AOcs.SIphysics.comp-phphysics.soc-ph
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无标度网络和其他网络的性质究竟是什么?

What exactly are the properties of scale-free and other networks?

Kevin Judd, Michael Small, Thomas Stemler

摘要:

无标度网络的概念已经广泛应用于自然科学和物理科学。关于这些网络的性质,有许多说法,尽管无标度的概念通常定义模糊。我们提出的工具和程序来分析由任意度分布和其他约束定义的网络的统计特性。这样做揭示了无标度网络的极有可能的性质和一些未被认识到的丰富性,并对一些先前声称的性质是由于无标度特征而产生的产生了怀疑。

英文摘要:

The concept of scale-free networks has been widely applied across natural and physical sciences. Many claims are made about the properties of these networks, even though the concept of scale-free is often vaguely defined. We present tools and procedures to analyse the statistical properties of networks defined by arbitrary degree distributions and other constraints. Doing so reveals the highly likely properties, and some unrecognised richness, of scale-free networks, and casts doubt on some previously claimed properties being due to a scale-free characteristic.

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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