[muazzam]

Spoiler Alert

The gotcha thing about this puzzle is sort of greedy approach; try to disentangle the local sub-graphs - concentrate on any nodes of your choice and their connections - and the global graph starts to fall in its place. It's trivial approaching it like this.

[Nitrolo]

I think I just naturally gravitated to that method after a few levels.

I wonder what an algorithmic approach to this would look like, would it act similarly?