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arXiv 1012.3409physics.soc-phcs.SI
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发现空间网络中的空间独立社区

Uncovering space-independent communities in spatial networks

Paul Expert, Tim Evans, Vincent D. Blondel, Renaud Lambiotte

摘要:

许多复杂系统都是以嵌入空间的网络形式组织起来的。重要的例子包括物理互联网基础设施、道路网络、航班连接、大脑功能网络和社交网络。由于基于地理定位的普遍技术的出现,空间对网络拓扑的影响最近成为人们关注的焦点,这些技术不断地用人们的运动填充数据库,从而揭示他们的轨迹和空间行为。从由此产生的大量人类流动数据中提取模式和信息,需要开发适当的工具来揭示空间嵌入式网络中的信息。与大多数作品倾向于将标准的网络指标应用于任何类型的网络相比,我们认为在本文中,网络拓扑结构的空间所施加的约束进行了仔细的处理。特别是,我们专注于社区检测的问题,并提出了一个模块化功能,适用于空间网络。我们表明,它是可能的因素,空间的影响,以更清楚地揭示隐藏的节点之间的结构相似性。方法进行测试的大型移动电话网络和计算机生成的基准空间的影响已被纳入。

英文摘要:

Many complex systems are organized in the form of a network embedded in space. Important examples include the physical Internet infrastucture, road networks, flight connections, brain functional networks and social networks. The effect of space on network topology has recently come under the spotlight because of the emergence of pervasive technologies based on geo-localization, which constantly fill databases with people's movements and thus reveal their trajectories and spatial behaviour. Extracting patterns and regularities from the resulting massive amount of human mobility data requires the development of appropriate tools for uncovering information in spatially-embedded networks. In contrast with most works that tend to apply standard network metrics to any type of network, we argue in this paper for a careful treatment of the constraints imposed by space on network topology. In particular, we focus on the problem of community detection and propose a modularity function adapted to spatial networks. We show that it is possible to factor out the effect of space in order to reveal more clearly hidden structural similarities between the nodes. Methods are tested on a large mobile phone network and computer-generated benchmarks where the effect of space has been incorporated.

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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