Study of near consensus complex social networks using eigen theory

Ling, Wing-Kuen and Stewart, Paul and Teo, Kok-Lay and Tse, Chi-Kong (2010) Study of near consensus complex social networks using eigen theory. In: International Conference on Optimization: Techniques and Applications, 10-13 December, 2010, Shanghai.

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Abstract

This paper extends the definition of an exact consensus complex social network to that of a near consensus complex social network. A near consensus complex social network is a social network with nontrivial topological features and steady state values of the decision certitudes of the majority of the nodes being either higher or lower than a threshold value. Based on this definition, the relationships among the vectors representing the steady state values of the decision certitudes of the nodes, the influence weight matrix of a near consensus complex social network and the set of vectors representing the initial state values of the decision certitudes of the nodes that satisfies a given near consensus specification are investigated. Finally, some practical examples of near consensus complex social networks are illustrated.

Item Type:Conference or Workshop Item (Presentation)
Additional Information:This paper extends the definition of an exact consensus complex social network to that of a near consensus complex social network. A near consensus complex social network is a social network with nontrivial topological features and steady state values of the decision certitudes of the majority of the nodes being either higher or lower than a threshold value. Based on this definition, the relationships among the vectors representing the steady state values of the decision certitudes of the nodes, the influence weight matrix of a near consensus complex social network and the set of vectors representing the initial state values of the decision certitudes of the nodes that satisfies a given near consensus specification are investigated. Finally, some practical examples of near consensus complex social networks are illustrated.
Keywords:complex network, consensus
Subjects:H Engineering > H310 Dynamics
Divisions:College of Science > School of Engineering
ID Code:3997
Deposited By:INVALID USER
Deposited On:13 Feb 2011 15:55
Last Modified:13 Mar 2013 08:55

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