复杂网络中的结构约束
Structural constraints in complex networks
摘要：
我们提出了一个链接重新布线机制，以产生代理人的网络中的度分布和丰富的俱乐部连接被保留。我们考虑三个真正的网络，AS-互联网，蛋白质相互作用和科学合作。我们表明，对于一个给定的度分布，丰富的俱乐部连接是敏感的度-度相关性，另一方面，度-度相关性是由丰富的俱乐部连接。特别是，在互联网的情况下，排斥系数总是负的，其值的微小变化可以完全逆转网络的富俱乐部结构;而固定的度分布和富俱乐部连接限制排斥系数在这样一个狭窄的范围内，一个合理的互联网模型可以主要考虑度分布和富俱乐部连接。我们还评论了使用最大随机网络作为零模型来评估真实网络中的富俱乐部连通性的适用性。
英文摘要：
We present a link rewiring mechanism to produce surrogates of a network where both the degree distribution and the rich--club connectivity are preserved. We consider three real networks, the AS--Internet, the protein interaction and the scientific collaboration. We show that for a given degree distribution, the rich--club connectivity is sensitive to the degree--degree correlation, and on the other hand the degree--degree correlation is constrained by the rich--club connectivity. In particular, in the case of the Internet, the assortative coefficient is always negative and a minor change in its value can reverse the network's rich--club structure completely; while fixing the degree distribution and the rich--club connectivity restricts the assortative coefficient to such a narrow range, that a reasonable model of the Internet can be produced by considering mainly the degree distribution and the rich--club connectivity. We also comment on the suitability of using the maximal random network as a null model to assess the rich--club connectivity in real networks.
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