Competing of Sznajd and voter dynamics in the Watts-Strogatz network
Abstract
We investigate the Watts-Strogatz network with the clustering coefficient C dependent on the rewiring probability. The network is an area of two opposite contact processes, where nodes can be in two states, S or D. One of the processes is governed by the Sznajd dynamics: if there are two connected nodes in D-state, all their neighbors become D with probability p. For the opposite process it is sufficient to have only one neighbor in state S; this transition occurs with probability 1. The concentration of S-nodes changes abruptly at given value of the probability p. The result is that for small p, in clusterized networks the activation of S nodes prevails. This result is explained by a comparison of two limit cases: the Watts-Strogatz network without rewiring, where C=0.5, and the Bethe lattice where C=0.
Keywords
Cite
@article{arxiv.1301.2944,
title = {Competing of Sznajd and voter dynamics in the Watts-Strogatz network},
author = {Marcin Rybak and Krzysztof Kulakowski},
journal= {arXiv preprint arXiv:1301.2944},
year = {2015}
}
Comments
10 pages, 5 figures