  We study the Castelnuovo-Mumford regularity of powers of edge ideals. We
prove that if G is a bipartite graph, then reg(I(G)^s) \leq 2s + reg I(G) - 2
for all s \geq 2, which is the best possible upper bound for any s. Suspension
plays a key role in proof of the base case s =2.
