//------------------------------//
// The Answer 28 
// Story: Life is A Test 2: Test Harder (Quite A Bit Harder) 
// by Brony_of_Brody 
//------------------------------//

Graham is on the sixth layer from the top.

Several commenters brute-forced their way through, which to be honest is probably the best way. We know Graham's room is on a floor where at least one room links to three others, including Graham's, making a total of four rooms, so that automatically eliminates the first three floors from the top with only three or less rooms. This also eliminates the fourth from the top once you've drawn out a plan: the non-Graham rooms,once connected, leaves us with no connections left.

The fifth floor doesn't work either, because once you draw out the rooms using a bit of graph theory, you see that all non-Graham occupying rooms use up their three connections linking with each other: you'd need FOUR to accommodate them:



But lo and behold, this array does work: