期刊
EPL
卷 84, 期 4, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1209/0295-5075/84/48004
关键词
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资金
- ONR
- Israel Science Foundation
We introduce the concept of the boundary of a complex network as the set of nodes at distance larger than the mean distance from a given node in the network. We study the statistical properties of the boundary nodes seen from a given node of complex networks. We find that for both Erdos-Renyi and scale-free model networks, as well as for several real networks, the boundaries have fractal properties. In particular, the number of boundaries nodes B follows a power law probability density function which scales as B-2. The clusters formed by the boundary nodes seen from a given node are fractals with a fractal dimension d(f) approximate to 2. We present analytical and numerical evidences supporting these results for a broad class of networks. Copyright (c) EPLA, 2008
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