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arXiv · 1110.1336

Early fragmentation in the adaptive voter model on directed networks

Gerd Zschaler·Gesa A. Böhme·Michael Seißinger·Cristián Huepe·Thilo Gross
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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.

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Gerd Zschaler, Gesa A. Böhme, Michael Seißinger, Cristián Huepe, Thilo Gross. 2012-04-16. Early fragmentation in the adaptive voter model on directed networks. https://doi.org/10.1103/physreve.85.046107

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