Not a Chain
Well not quite.
This picture illustrates a sub-network that a scout may deliver.
It is not naturally a partial order for there are occasions where the middle link may be traversed in either direction to build the best path from bottom to top.
I am tempted to treat is as a partial order nonetheless with one of the orderings of the middle circles.
As a scout delivers these paths some one ordering will apply.
That seems to be a good guess that will generally persist.