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    					| Study on the Robustness of High-low-order Coupling Networks | 
  					 
  					  										
						| ZHANG Chengjun, YAO Hui, LEI Yi, XIA Denghui, LI Qi, SHEN Xinyu, QIAN Ming, YU Wenbin
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						| Department of Computer and Software, Nanjing University of Information Science and Technology, Nanjing 210044, China | 
					 
										
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													     		                            						                            																	    Abstract  This paper proposes a high-low-order coupled network model to gain a deeper understanding of the interdependent relationships in real-world network systems and address the cascade failure issues faced by complex networks and their higher-order networks. This model describes the interdependencies between complex networks (lower-order networks) and their higher-order organizations (higher-order networks). Their vulnerability is analyzed by subjecting the high-low-order coupled networks to random attacks. The study reveals that high-low-order coupled networks exhibit greater vulnerability to random attacks than standalone lower-order networks. This finding underscores the importance of considering the interdependencies between high and low-order networks in designing and managing complex network systems, particularly in preventing cascade failures, where special attention should be paid to the vulnerabilities of these interdependent structures.
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															    																	Received: 02 November 2022
																	    
															    															    															    																	Published: 07 November 2024
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