Growing scale-free networks with small-world behavior -: art. no. 057102

Growing scale-free networks with small-world behavior -: art. no. 057102
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DOI:
10.1103/physreve.65.057102
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发表时间:
2002-05-01
期刊:
影响因子:
2.4
通讯作者:
Eguíluz, VM
Eguíluz, VM
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Klemm, K;Eguíluz, VM

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在成长型网络的背景下,我们引入了一个简单的动力学模型,该模型统一了真实网络的一般特征:度的无标度分布和小世界效应。虽然平均最短路径长度像在随机网络中一样以对数增加,但集群系数呈现与系统大小无关的大值。我们推导了两种极限情况下的聚集系数的解析表达式:随机的[C类似于(In N)(2)/N]和高度聚集的(C=5/6)无标度网络。
In the context of growing networks, we introduce a simple dynamical model that unifies the generic features of real networks: scale-free distribution of degree and the small-world effect. While the average shortest path length increases logarithmically as in random networks, the clustering coefficient assumes a large value independent of system size. We derive analytical expressions for the clustering coefficient in two limiting cases: random [C similar to (In N)(2)/N] and highly clustered (C = 5/6) scale-free networks.