Properties of highly clustered networks
Properties of highly clustered networks
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DOI：
10.1103/physreve.68.026121
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发表时间：
2003-08-01
影响因子：
2.4
通讯作者：
Newman, MEJ
中科院分区：
文献类型：
--
作者：
Newman, MEJ
我们提出并精确求解了一个同时具有可调的度分布和可调的聚集系数的网络模型。在其他方面，我们的结果表明，增加的集群导致网络的巨大组成部分的大小减少。我们还研究了模型中的易感/传染病/恢复型流行病过程，发现聚类化减小了流行病的规模，但也降低了流行病的阈值，使疾病更容易传播。此外，聚集性会导致流行病更快饱和，这意味着它们感染网络的几乎最大部分，传播率相当低。
We propose and solve exactly a model of a network that has both a tunable degree distribution and a tunable clustering coefficient. Among other things, our results indicate that increased clustering leads to a decrease in the size of the giant component of the network. We also study susceptible/infective/recovered type epidemic processes within the model and find that clustering decreases the size of epidemics, but also decreases the epidemic threshold, making it easier for diseases to spread. In addition, clustering causes epidemics to saturate sooner, meaning that they infect a near-maximal fraction of the network for quite low transmission rates.