Abstract.
We present a renormalization approach to solve the Sznajd opinion formation model on complex networks. For the case of two opinions, we present an expression of the probability of reaching consensus for a given opinion as a function of the initial fraction of agents with that opinion. The calculations reproduce the sharp transition of the model on a fixed network, as well as the recently observed smooth function for the model when simulated on a growing complex networks.
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González, M., Sousa, A. & Herrmann, H. Renormalizing Sznajd model on complex networks taking into account the effects of growth mechanisms. Eur. Phys. J. B 49, 253–257 (2006). https://doi.org/10.1140/epjb/e2006-00049-5
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DOI: https://doi.org/10.1140/epjb/e2006-00049-5