%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 }