Venezuela's military government and graph theory

The first graph shows just a very small subset of the ministries and ministers since military Hugo Chávez is president of Venezuela. In these days we are hearing about the latest changes.

The Knight's Tour Puzzle? Doesn't apply. Each knight - or rather, each Boligarch - visits each square zero, one, two or more times, with no apparent reason. Tower of Hanoi? Doesn't apply either. Hugo moves several disks at a time, with no apparent pattern. The Minimal Connector Problem? What are the vertices here and what does it mean to have a cycle here? Going back to a ministry?

Venezuelan politics offers new graph puzzles. I will come back to this in a few days.