The edges in these 4 graphs show the colour pairings of opposite faces of the
cubes.
To solve the problem combine all 4 graphs then look for 2 subgraphs, one representing
the colours
on the front and back walls of the tower and the other representing the colours
on the left and right hand
walls of the tower, such that each contains all 4 colours and precisely one edge
of each numbered cube.
