In the face of surging air transportation demands and increasingly intense flight conflict risks, effectively managing flight conflicts and accurately identifying key conflicting aircraft have become critically important. This paper presents a novel method for identifying critical nodes in flight conflict networks by integrating complex network theory with a weighted cycle ratio (WCR). By modeling aircraft as nodes and conflict relationships as edges, we construct a flight conflict network where the urgency of conflicts is reflected in edge weights. We extend the traditional cycle ratio (CR) concept to propose the WCR, which accounts for both the topological structure of the network and the urgency of conflicts. Furthermore, we combine the WCR with node strength (NS) to form an adjustable mixed indicator (MI), which adaptively balances the importance of nodes based on their involvement in cyclic conflict structures and their individual conflict intensity. Through extensive simulations, including node deletion experiments and network robustness analyses, we demonstrate that our method can precisely pinpoint critical nodes in flight conflict networks. The results indicate that regulating these critical nodes can significantly reduce network complexity and conflict risks. Importantly, our method's effectiveness grows with the complexity of the flight conflict network, making it especially suitable for scenarios with high aircraft densities and intricate conflict patterns. Overall, this study not only advances the theoretical understanding of complex network analysis in aviation but also offers a practical tool for enhancing air traffic control efficiency and safety, ultimately contributing to greener and more sustainable air transportation.
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