  We investigate the topological phase transitions in graphene under the
modulation of circularly polarized light, by analyzing the changes of edge
states and its topological structures. A full phase diagram, with up to ten
different topological phases, is presented in the parameter space spanned by
the driving frequency and light strength. We find that the high-Chern number
behavior is very common in the driven system. While the one-photon resonance
can create the chiral edge states in the $\pi-$gap, the two-photon resonance
will induce the counter-propagating edge modes in the zero-energy gap. When the
driving light strength is strong, the number and even the chirality of the edge
states may change in the $\pi-$gap. The robustness of the edge states to
disorder potential are also examined. We close by discussing the feasibility of
experimental proposals.
