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A centrality measure for urban networks based on the eigenvector centrality concept

机译:基于特征向量中心性概念的城市网络中心度度量

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摘要

A massive amount of information as geo-referenced data is now emerging from the digitization of contemporary cities. Urban streets networks are characterized by a fairly uniform degree distribution and a low degree range. Therefore, the analysis of the graph constructed from the topology of the urban layout does not provide significant information when studying topology-based centrality. On the other hand, we have collected geo-located data about the use of various buildings and facilities within the city. This does provide a rich source of information about the importance of various areas. Despite this, we still need to consider the influence of topology, as this determines the interaction between different areas. In this paper, we propose a new model of centrality for urban networks based on the concept of Eigenvector Centrality for urban street networks which incorporates information from both topology and data residing on the nodes. So, the centrality proposed is able to measure the influence of two factors, the topology of the network and the geo-referenced data extracted from the network and associated to the nodes. We detail how to compute the centrality measure and provide the rational behind it. Some numerical examples with small networks are performed to analyse the characteristics of the model. Finally, a detailed example of a real urban street network is discussed, taking a real set of data obtained from a fieldwork, regarding the commercial activity developed in the city.
机译:现代城市的数字化正在产生大量的信息,如地理参考数据。城市街道网络的特点是度分布相当均匀,度范围较小。因此,在研究基于拓扑的中心性时,对根据城市布局的拓扑构造的图的分析不会提供重要的信息。另一方面,我们收集了有关城市中各种建筑物和设施使用情况的地理位置数据。这确实提供了有关各个领域重要性的丰富信息来源。尽管如此,我们仍然需要考虑拓扑的影响,因为这决定了不同区域之间的相互作用。在本文中,我们基于城市街道网络特征向量中心性的概念,提出了一种新的城市网络中心性模型,该模型融合了来自拓扑和位于节点上的数据的信息。因此,所提出的中心性能够衡量两个因素的影响,即网络的拓扑以及从网络中提取并关联到节点的地理参考数据。我们详细介绍了如何计算集中度度量并提供其背后的合理性。进行了一些带有小型网络的数值示例,以分析模型的特征。最后,讨论了一个真实的城市街道网络的详细示例,并采用了从田野调查中获得的关于城市发展商业活动的真实数据。

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