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arXiv 0803.1247cond-mat.dis-nncond-mat.stat-mech
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具有层次约束拓扑结构的复杂网络的熵

Entropies of complex networks with hierarchically constrained topologies

Ginestra Bianconi, Anthony C. C. Coolen, Conrad J. Perez Vicente

摘要:

在稀疏随机网络系综中,层次网络拓扑的熵是给定网络拓扑出现在所选系综中的对数似然,本文给出了这种熵的一般公式,在一些简单的极限情况下,它有一个清晰而简单的解释。结果提供了新的钥匙,以解决“拟合”一个给定的网络与一个适当的合奏随机网络的一般问题。

英文摘要:

The entropy of a hierarchical network topology in an ensemble of sparse random networks with "hidden variables" associated to its nodes, is the log-likelihood that a given network topology is present in the chosen ensemble.We obtain a general formula for this entropy,which has a clear simple interpretation in some simple limiting cases. The results provide new keys with which to solve the general problem of "fitting" a given network with an appropriate ensemble of random networks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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