TY - JOUR
T1 - Majority model on a network with communities
AU - Lambiotte, R.
AU - Ausloos, M.
AU - Hołyst, J.A.
N1 - Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2007/3/7
Y1 - 2007/3/7
N2 - We focus on the majority model in a topology consisting of two coupled fully connected networks, thereby mimicking the existence of communities in social networks. We show that a transition takes place at a value of the interconnectivity parameter. Above this value, only symmetric solutions prevail, where both communities agree with each other and reach consensus. Below this value, in contrast, the communities can reach opposite opinions and an asymmetric state is attained. The importance of the interface between the subnetworks is shown.
AB - We focus on the majority model in a topology consisting of two coupled fully connected networks, thereby mimicking the existence of communities in social networks. We show that a transition takes place at a value of the interconnectivity parameter. Above this value, only symmetric solutions prevail, where both communities agree with each other and reach consensus. Below this value, in contrast, the communities can reach opposite opinions and an asymmetric state is attained. The importance of the interface between the subnetworks is shown.
UR - http://www.scopus.com/inward/record.url?scp=33847778662&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.75.030101
DO - 10.1103/PhysRevE.75.030101
M3 - Article
AN - SCOPUS:33847778662
SN - 1539-3755
VL - 75
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
ER -