arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1106.0041cs.SInlin.AOphysics.soc-ph
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复杂网络中社团结构的一致性评价

Assessing the consistency of community structure in complex networks

Matthew Steen, Satoru Hayasaka, Karen Joyce, Paul Laurienti

摘要:

近年来,社区结构已成为复杂网络分析的一个重要组成部分。随着更多数据的收集,研究人员已经开始调查多个网络中不断变化的社区结构。有几种方法可以分析不断变化的社区,但大多数方法仅限于单个网络随时间的演变。此外,大多数现有的方法更关心的是在社区一级的变化,而不是在单个节点的水平。在本文中,我们引入了缩放包容性,这是一种量化网络中社区结构变化的方法。标度包容性独立地评估网络中每个节点分类的一致性。此外,该方法可以应用于横截面以及纵向。在本文中,我们计算了一组模拟网络的美国城市和一组真实的网络组成的球队,在美国大学橄榄球的顶级联赛的规模包容性。我们发现,缩放包容性产生合理的结果,在这两组网络中的单个节点的一致性。我们建议,规模包容性可以提供一个有用的方式来量化网络的社区结构的变化。

英文摘要:

In recent years, community structure has emerged as a key component of complex network analysis. As more data has been collected, researchers have begun investigating changing community structure across multiple networks. Several methods exist to analyze changing communities, but most of these are limited to evolution of a single network over time. In addition, most of the existing methods are more concerned with change at the community level than at the level of the individual node. In this paper, we introduce scaled inclusivity, which is a method to quantify the change in community structure across networks. Scaled inclusivity evaluates the consistency of the classiffication of every node in a network independently. In addition, the method can be applied cross-sectionally as well as longitudinally. In this paper, we calculate the scaled inclusivity for a set of simulated networks of United States cities and a set of real networks consisting of teams that play in the top division of American college football. We found that scaled inclusivity yields reasonable results for the consistency of individual nodes in both sets of networks. We propose that scaled inclusivity may provide a useful way to quantify the change in a network's 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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