  We propose that a large and tunable valley-selective Hall effect can be
realized in a centrosymmetric system via light-induced breaking of inversion
and time-reversal symmetries. This is demonstrated in graphene driven by
bicircularly polarized light, which consists of a linear combination of left-
and right-handed circularly polarized light with different frequencies. We also
show that our Hall conductivity is two orders of magnitude larger than the
maximum value obtained in noncentrosymmetric systems, and that the main valley
can be switched by tuning a phase difference between the left- and right-handed
circularly polarized light. Our results will enable us to generate and control
the valley-selective Hall effect in centrosymmetric systems.
