Mapping the [formula omitted]-voter model: From a single chain to complex networks

Abstract

We propose and compare six different ways of mapping the modified q-voter model to complex networks. Considering square lattices, Barabási–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.