Eigenmode of Decision-By-Majority Process on Complex Networks

Details Eigenmode of Decision-By-Majority Process on Complex Networks Eigenmode of Decision-By-Majority Process on Complex Networks

2007-10-05

arxiv.org/abs/0710.1156v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 1 figure. Presented in European Conference on Complex Systems 2007 (ECCS'07). An extended version of this paper has b

Scientific paper

The nature of dynamics of opinion formation modeled as a decision-by-majority process in complex networks is investigated using eigenmode analysis. Hamiltonian of the system is defined, and estimated by eigenvectors of the adjacency matrix constructed from several network models. The eigenmodes of initial and final state of the dynamics are analyzed by numerical studies. We show that the magnitude of the largest eigenvector at the initial states are key determinant for the resulting dynamics.

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