sorting curves according to adjacency

Hi there, I'm having a problem with this one. 

I have a 3d voronoi diagram and I would like to, after extracting its wireframe, to sort the curves according to their adjacency; to have the adjacent curves organiced in each branch. Because of this there will be double the amount of curves because curves have 2 end points (this is also something I need). I'm attaching a rhino, a gh and an image that highlits some of the adjacent curves that I'd like to group them in each branch if I didn't explain my self clearly.

Any help would be much appreciated!