空中交通网络模体识别及子图结构韧性评估

研究空中交通网络的结构特征是理解网络性质的重要手段。从局部角度出发，以构成空中交通网络的子图结构为研究对象，对其模体特性进行识别。通过对子图浓度在外界扰动下的变化情况进行分析，提出子图结构韧性概念以表征网络拓扑结构的动态演化规律。以华东地区空中交通网络为例，对低阶子图结构进行了模体特性识别，并对不同扰动下子图结构韧性的变化情况进行评估。实证结果表明，子图结构的模体特性符合空中交通网络的实际连通度需求；在网络受扰动及恢复过程中，子图相对浓度较为稳定，子图结构韧性和网络宏观结构变化之间较为一致。对于揭示节点间连接的偏好及航路结构合理性，网络受扰动及恢复过程背后的底层机制，网络整体与局部结构之间的关系等有着一定的研究意义。

Air traffic network motif recognition and sub-graph structure resilience evaluation

The structural characteristics of air traffic networks are important for the understanding of the macroscopic nature and resilience of the networks. The sub-graph structure of the air traffic network is studied from a local perspective to identify the characteristics of its phantom. By analyzing the change of sub-graph concentration under external disturbances, we propose the concept of sub-graph structural toughness to characterize the dynamic evolution law of the underlying network topology. The phantom characteristics of the low-order sub-graph structure are identified, and the changes in the structural toughness of the sub-graph under different disturbances are evaluated with the air traffic network in East China as an example. The empirical results show that the phantom characteristics of the sub-graph structure meet the practical connectivity requirements of the air traffic network; in the process of disturbances and network recovery, the relative concentration of the sub-graph is relatively stable, and the structural toughness of the sub-graph is more consistent with the changes in the macro structure of the network. It has certain research significance for revealing the preference of the connection between the nodes and the rationality of the route structure, the underlying mechanism behind the network disturbance and recovery process, and the relationship between the overall and local structures of the network.