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arXiv 1601.00286cs.SIcs.DCphysics.soc-ph
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社交网络的结构保持稀疏化方法

Structure-Preserving Sparsification Methods for Social Networks

Michael Hamann, Gerd Lindner, Henning Meyerhenke, Christian L. Staudt, Dorothea Wagner

摘要:

稀疏化减少了网络的大小,同时保留了感兴趣的结构和统计特性。各种稀疏化算法已被提出在不同的上下文中。我们贡献了第一个系统的概念和实验比较\textit{edge sparsification}方法对一组不同的网络属性。结果表明,它们可以被理解为方法的重要性,然后过滤全球或本地这些分数的边缘评级。我们表明,应用局部滤波技术提高了各种属性的保存。此外,我们提出了一种新的稀疏化方法(\textit{Local Degree}),它保留了导致本地枢纽节点的边缘。所有的方法进行评估的一组社交网络从Facebook,Google+,Twitter和LiveJournal的网络属性,包括直径,连接组件,社区结构,多个节点的中心性措施和行为的流行病模拟。为了评估社区结构的保存情况,我们还包括对具有地面真实社区的综合生成网络的实验。我们实现的稀疏化方法(包括在开源网络分析工具套件NetworkKit)的实验表明,许多网络属性可以保留到约20%的原始边缘集的稀疏图与合理的密度。实验结果使我们能够区分不同方法的行为,并显示哪种方法适用于哪种属性。虽然我们的局部度方法最适合保留连接性和短距离,但其他新引入的局部变量最适合保留社区结构。

英文摘要:

Sparsification reduces the size of networks while preserving structural and statistical properties of interest. Various sparsifying algorithms have been proposed in different contexts. We contribute the first systematic conceptual and experimental comparison of \textit{edge sparsification} methods on a diverse set of network properties. It is shown that they can be understood as methods for rating edges by importance and then filtering globally or locally by these scores. We show that applying a local filtering technique improves the preservation of all kinds of properties. In addition, we propose a new sparsification method (\textit{Local Degree}) which preserves edges leading to local hub nodes. All methods are evaluated on a set of social networks from Facebook, Google+, Twitter and LiveJournal with respect to network properties including diameter, connected components, community structure, multiple node centrality measures and the behavior of epidemic simulations. In order to assess the preservation of the community structure, we also include experiments on synthetically generated networks with ground truth communities. Experiments with our implementations of the sparsification methods (included in the open-source network analysis tool suite NetworKit) show that many network properties can be preserved down to about 20\% of the original set of edges for sparse graphs with a reasonable density. The experimental results allow us to differentiate the behavior of different methods and show which method is suitable with respect to which property. While our Local Degree method is best for preserving connectivity and short distances, other newly introduced local variants are best for preserving the community structure.

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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