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arXiv · 1501.05091

Mapping the $q$-voter model: From a single chain to complex networks

Arkadiusz Jędrzejewski·Katarzyna Sznajd-Weron·Janusz Szwabiński
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Abstract

We propose and compare six different ways of mapping the modified $q$-voter model to complex networks. Considering square lattices, Barab\'asi-Albert, Watts-Strogatz and real Twitter networks, we ask the question if always a particular choice of the group of influence of a fixed size $q$ leads to different behavior at the macroscopic level. Using Monte Carlo simulations we show that the answer depends on the relative average path length of the network and for real-life topologies the differences between the considered mappings may be negligible.

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Arkadiusz Jędrzejewski, Katarzyna Sznajd-Weron, Janusz Szwabiński. 2015-01-21. Mapping the $q$-voter model: From a single chain to complex networks. https://doi.org/10.1016/j.physa.2015.11.005

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