  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.
