We consider voter dynamics on a directed adaptive network with fixed out-degree distribution. A transition between an active phase and a fragmented phase is observed. This transition is similar to the undirected case if the networks are sufficiently dense and have a narrow out-degree distribution. However, if a significant number of nodes with low out degree is present, then fragmentation can occur even far below the estimated critical point due to the formation of self-stabilizing structures that nucleate fragmentation. This process may be relevant for fragmentation in current political opinion formation processes.
Zschaler2012 - Early fragmentation in the adaptive voter model on directed networks.pdf:Contact Processes/Zschaler2012 - Early fragmentation in the adaptive voter model on directed networks.pdf:PDF
%0 Journal Article
%1 Zschaler2012
%A Zschaler, Gerd
%A Böhme, Gesa A.
%A Seißinger, Michael
%A Huepe, Cristián
%A Gross, Thilo
%D 2012
%J Phys. Rev. E
%K networks graphs adaptive-networks voter-model opinion-formation social-networks fragmentation critical-phenomena directed-networks
%N 4
%P 046107
%R 10.1103/PhysRevE.85.046107
%T Early fragmentation in the adaptive voter model on directed networks
%V 85
%X We consider voter dynamics on a directed adaptive network with fixed out-degree distribution. A transition between an active phase and a fragmented phase is observed. This transition is similar to the undirected case if the networks are sufficiently dense and have a narrow out-degree distribution. However, if a significant number of nodes with low out degree is present, then fragmentation can occur even far below the estimated critical point due to the formation of self-stabilizing structures that nucleate fragmentation. This process may be relevant for fragmentation in current political opinion formation processes.
@article{Zschaler2012,
abstract = {We consider voter dynamics on a directed adaptive network with fixed out-degree distribution. A transition between an active phase and a fragmented phase is observed. This transition is similar to the undirected case if the networks are sufficiently dense and have a narrow out-degree distribution. However, if a significant number of nodes with low out degree is present, then fragmentation can occur even far below the estimated critical point due to the formation of self-stabilizing structures that nucleate fragmentation. This process may be relevant for fragmentation in current political opinion formation processes.},
added-at = {2012-04-17T10:51:36.000+0200},
archiveprefix = {arXiv},
author = {Zschaler, Gerd and Böhme, Gesa A. and Seißinger, Michael and Huepe, Cristián and Gross, Thilo},
biburl = {https://www.bibsonomy.org/bibtex/29ebffa8c91f7de384ef7c72f312c22e9/rincedd},
doi = {10.1103/PhysRevE.85.046107},
eprint = {1110.1336},
file = {Zschaler2012 - Early fragmentation in the adaptive voter model on directed networks.pdf:Contact Processes/Zschaler2012 - Early fragmentation in the adaptive voter model on directed networks.pdf:PDF},
groups = {public},
interhash = {cdc2537eb427f00d0c769d5dc395aeb2},
intrahash = {9ebffa8c91f7de384ef7c72f312c22e9},
journal = {Phys. Rev. E},
keywords = {networks graphs adaptive-networks voter-model opinion-formation social-networks fragmentation critical-phenomena directed-networks},
number = 4,
pages = 046107,
timestamp = {2012-04-17T10:51:36.000+0200},
title = {Early fragmentation in the adaptive voter model on directed networks},
username = {rincedd},
volume = 85,
year = 2012
}