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生成具有给定度-度相关性和度依赖聚类的随机网络。

Generating random networks with given degree-degree correlations and degree-dependent clustering.

作者信息

Pusch Andreas, Weber Sebastian, Porto Markus

机构信息

Institut für Festkörperphysik, Technische Universität Darmstadt, Hochschulstrasse 8, 64289 Darmstadt, Germany.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Jan;77(1 Pt 2):017101. doi: 10.1103/PhysRevE.77.017101. Epub 2008 Jan 14.

DOI:10.1103/PhysRevE.77.017101
PMID:18351963
Abstract

Random networks are widely used to model complex networks and research their properties. In order to get a good approximation of complex networks encountered in various disciplines of science, the ability to tune various statistical properties of random networks is very important. In this Brief Report we present an algorithm which is able to construct arbitrarily degree-degree correlated networks with adjustable degree-dependent clustering. We verify the algorithm by using empirical networks as input and describe additionally a simple way to fix a degree-dependent clustering function if degree-degree correlations are given.

摘要

随机网络被广泛用于对复杂网络进行建模并研究其属性。为了很好地近似科学各学科中遇到的复杂网络,调整随机网络各种统计属性的能力非常重要。在本简报中,我们提出了一种算法,该算法能够构建具有可调度依赖聚类的任意度-度相关网络。我们以经验网络作为输入来验证该算法,并额外描述了一种在给定度-度相关性时确定度依赖聚类函数的简单方法。

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