空间约束对加权复杂网络演化的影响
The effects of spatial constraints on the evolution of weighted complex networks
摘要：
出于对航空运输系统的实证分析，我们定义了一个网络模型，其中包括地理属性以及拓扑和权重（交通）属性。地理属性的引入是通过将网络约束在真实空间中来实现的。有趣的是，几何特征的引入引起了权重、连接模式和顶点的实际空间距离之间的非平凡相关性。该模型还恢复了介度关联函数中出现的异常波动，如Guimerà和Amaral首次观察到的[Eur. J. B { \bf 38}，381（2004）]。所呈现的结果表明，权重动态和空间约束之间的相互作用是理解真实世界加权网络形成的关键因素。
英文摘要：
Motivated by the empirical analysis of the air transportation system, we define a network model that includes geographical attributes along with topological and weight (traffic) properties. The introduction of geographical attributes is made by constraining the network in real space. Interestingly, the inclusion of geometrical features induces non-trivial correlations between the weights, the connectivity pattern and the actual spatial distances of vertices. The model also recovers the emergence of anomalous fluctuations in the betweenness-degree correlation function as first observed by Guimerà and Amaral [Eur. Phys. J. B {\bf 38}, 381 (2004)]. The presented results suggest that the interplay between weight dynamics and spatial constraints is a key ingredient in order to understand the formation of real-world weighted networks.
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