In your example demo, none of the brown lines cross. If I wanted to add another node to your demo I want to be sure that when I create links to the other nodes the brown lines don't cross, or if they do cross--where do they cross (the layout x,y coord of the crossing point).
As an example, connect the node in the upper left corner of the layout to the lower right corner. It will generate a long brown link that corsses 5 or 6 other brown links. THe programmer wants to be able to detect this condition (true--yes it crosses at least one other node link). Later on you may want to add where it crosses.
I am calling node link what you are calling edge. So yes, if the edge is a line do they cross.