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| Evaluation Method of Importance for Nodes in Complex Networks Based on Importance Contribution |
| ZHANG Xiping1,2, LI Yongshu1, LIU Gang1, WANG Lei1
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1. Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu 610031, China;
2. Chongqing University of Posts and Telecommunications Software Engineer College, Chongqing 400065, China |
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Abstract We introduce the concept of m-order neighbors and propose an evaluation method of vital node for complex networks based on importance contribution of m-order neighbors.Two parameters α and γ are defined for adjusting the dependences of node importance evaluation on the node itself and m-order neighbors. This method considers the importance contribution of the node itself and m-order neighbors. In order to characterize the efficiency of this method, ARPA network is adopted to evaluate the node importance with different values of m. The results shows that, compared with the degree method, betweenness method and node deletion method, our algorithm is more precise to evaluate the node importance, which can observably distinguish the importance discrepancy of the nodes on the complex networks and precisely extract the vital nodes. Meanwhile, the results also reveal an important dynamic phenomenon that when the value of m is more than the average path length L of the network, our method can derive reliable and high precise evaluation results.
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Received: 26 June 2013
Published: 22 June 2026
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