Classes of small-world networks
Classes of small-world networks
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DOI：
10.1073/pnas.200327197
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发表时间：
2000-10-10
影响因子：
11.1
通讯作者：
Stanley, HE
中科院分区：
文献类型：
--
作者：
Amaral, LAN;Scala, A;Stanley, HE
我们研究各种不同现实世界网络的统计特性。我们提供了出现三类小型网络的证据：（a）无标度网络，其特征是顶点连接性分布，该网络是势力法的； （b）广泛的网络，其特征在于具有功率法制度的连通性分布，然后是急剧的截止； （c）单尺度网络，其特征是连通性分布，尾巴快速衰减。而且。我们注意到大规模和单尺度网络的类别，存在限制限制新链接的限制。我们的结果表明，这种约束的性质可能是不同类别网络出现的控制因素。
We study the statistical properties of a variety of diverse real-world networks. We present evidence of the occurrence of three classes of small-world networks: (a) scale-free networks, characterized by a vertex connectivity distribution that decays as a power law; (b) broad-scale networks, characterized by a connectivity distribution that has a power law regime followed by a sharp cutoff; and (c) single-scale networks, characterized by a connectivity distribution with a fast decaying tail. Moreover. we note for the classes of broad-scale and single-scale networks that there are constraints limiting the addition of new links. Our results suggest that the nature of such constraints may be the controlling factor for the emergence of different classes of networks.