Identification of Important Motifs in Directed Weighted Networks and Its Application
In order to identify the important weighted motifs in the directed weighted networks,the directed weighted networks are transformed into label networks and the simple motifs are ex-panded to label motifs by defining the edge weights as strong and weak labels.For the label mo-tifs of the three nodes,the time-consuming procedure of subgraph traversal is replaced by the es-timated probability of the corresponding number of the motifs appear in the random networks,and the important label motifs in the directed weighted networks are identified by introducing a dynamic indicator associated with the label motif type.It is applied to the passing networks of Guangdong team and Liaoning team in the 2019-2020 finals of China Basketball Association(CBA).The important passing modes of the teams in the games and the important players in the corresponding modes are obtained.The important label motifs play a significant role in mining the important construction patterns and key nodes of the directed weighted networks.
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