TY - JOUR
T1 - How does degree heterogeneity affect an order-disorder transition?
AU - Lambiotte, R.
N1 - Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2007/6/1
Y1 - 2007/6/1
N2 - We focus on the role played by the node degree distribution on the way collective phenomena emerge on complex networks. To address this question, we focus analytically on a typical model for cooperative behaviour, the majority rule, applied to dichotomous networks. The latter are composed of two kinds of nodes, each kind i being characterized by a degree k. Dichotomous networks are therefore a simple instance of heterogeneous networks, especially adapted in order to reveal the effect of degree heterogeneity. Our main result are that degree heterogeneity affects the location of the order-disorder transition and that the system exhibits non-equipartition of the average opinion between the two kinds of nodes. This effect is observed in the ordered phase and in the disordered phase.
AB - We focus on the role played by the node degree distribution on the way collective phenomena emerge on complex networks. To address this question, we focus analytically on a typical model for cooperative behaviour, the majority rule, applied to dichotomous networks. The latter are composed of two kinds of nodes, each kind i being characterized by a degree k. Dichotomous networks are therefore a simple instance of heterogeneous networks, especially adapted in order to reveal the effect of degree heterogeneity. Our main result are that degree heterogeneity affects the location of the order-disorder transition and that the system exhibits non-equipartition of the average opinion between the two kinds of nodes. This effect is observed in the ordered phase and in the disordered phase.
UR - http://www.scopus.com/inward/record.url?scp=70350232406&partnerID=8YFLogxK
U2 - 10.1209/0295-5075/78/68002
DO - 10.1209/0295-5075/78/68002
M3 - Article
AN - SCOPUS:70350232406
SN - 0295-5075
VL - 78
JO - EPL
JF - EPL
IS - 6
ER -