You need to put your reindeer, rudy, ezekiel, gloopin, bloopin, and prancer, in a single-file line to pull your sleigh. however, bloopin and rudy are fighting, so you have to keep them apart, or they won't fly. how many ways can you arrange your reindeer?

If the reindeer do not fight, there are 5!=120 ways to line them up in a straight line.
Out of these, Bloopin and Rudy are together in 4!=24 times.  Similarly Rudy and Bloopin will be together 4!=24 times.  So the number of ways they are not together is 120-24-24=72 ways.

There is no graph to go along with this