Eur. Phys. J. B 49, 253-257 (2006)
https://doi.org/10.1140/epjb/e2006-00049-5

Renormalizing Sznajd model on complex networks taking into account the effects of growth mechanisms

¹ Institute for Computational Physics, Universität Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany
² Systemgestaltung, ETH Zentrum Kreuzplatz 5, F 27.2, 8032 Zurich, Switzerland
³ Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Brazil

Corresponding author: ^a marta@ica1.uni-stuttgart.de

Received: 6 October 2005
Revised: 8 December 2005
Published online: 17 February 2006

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.