Optimizing consensus reaching in the hybrid opinion dynamics in a social network•

2021 ◽  
Vol 72 ◽  
pp. 89-99
Author(s):  
Yi Liu ◽  
Haiming Liang ◽  
Lei Gao ◽  
Zhaoxia Guo
Keyword(s):  
Social Network ◽  
Opinion Dynamics ◽  
Consensus Reaching

scholarly journals The Impact of Community Structure on the Convergence Time of Opinion Dynamics

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
An Lu ◽  
Chunhua Sun ◽  
Yezheng Liu
Keyword(s):  
Community Structure ◽  
Social Network ◽  
Social Influence ◽  
Opinion Dynamics ◽  
Matrix Analysis ◽  
Convergence Time ◽  
Influence Matrix ◽  
The Social ◽  
The Impact ◽  
Second Largest Eigenvalue

We analyze the convergence time of opinion dynamics in a social network with community structure. Using matrix analysis, we prove that the convergence time is determined by the second largest eigenvalue modulus. This modulus is close to 1 if the social influence matrix is nearly uncoupled. Furthermore, we discuss and analyze the factors of community structure affecting the convergence time.

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