Comments on ¡°Scale-free networks without growth?/span>

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• 作者：Weicai Zhong^a ; ^b ; ¹ ; ^{wakenov@gmail.com} ; ^{w.zhong@adfa.edu.au} ; Jing Liu^c ; ^{neouma@163.com}
• 关键词：Scale-free ; Rewiring models ; Self-loop ; Multiple-link
• 刊名：Physica A
• 出版年：2012
• 出版时间：1 March 2012
• 年：2012
• 卷：391
• 期：5
• 页码：2163-2165
• 全文大小：291 K

文摘

In [Y.-B. Xie, T. Zhou, B.-H. Wang, Scale-free networks without growth, Physica A 387 (2008) 1683-1688], a nongrowing scale-free network model has been introduced, which shows that the degree distribution of the model varies from the power-law form to the Poisson form as the free parameter increases, and indicates that the growth may not be necessary for a scale-free network structure to emerge. However, the model implicitly assumes that self-loops and multiple-links are allowed in the model and counted in the degree distribution. In many real-life networks, such an assumption may not be reasonable. We showed here that the degree distribution of the emergent network does not obey a power-law form if self-loops and multiple-links are allowed in the model but not counted in the degree distribution. We also observed the same result when self-loops and multiple-links are not allowed in the model. Furthermore, we showed that the effect of self-loops and multiple-links on the degree distribution weakens as increases and even becomes negligible when is sufficiently large.