Ling, Wing-Kuen and Stewart, Paul and Teo, Kok-Lay and Tse, Chi-Kong (2011) Study of near consensus complex social networks using Eigen theory. In: International Symposium on Circuits and Systems, 15 May - 18 May 2011, Rio de Janeiro.
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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. By using eigen theories, the relationships among the vectors representing the steady state values of the decision certitudes of the nodes, the influence weight matrix 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 characterized.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| 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. By using eigen theories, the relationships among the vectors representing the steady state values of the decision certitudes of the nodes, the influence weight matrix 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 characterized. |
| Keywords: | complex networks, consensus |
| Subjects: | H Engineering > H310 Dynamics |
| Divisions: | College of Sciences > Faculty of Science > Lincoln School of Engineering |
| Depositing User: | Wing-Kuen Ling |
| Date Deposited: | 13 Feb 2011 18:35 |
| Last Modified: | 13 Mar 2013 08:55 |
| URI: | http://eprints.lincoln.ac.uk/id/eprint/3995 |
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