  We solved the Schr\"odinger problem for electrons in graphene subjected to
both a stationary magnetic field and a strong high-frequency electromagnetic
wave (dressing field). The found solutions of the problem are used to describe
the magnetoelectronic properties of dressed graphene. It follows from the
present analysis that both optical characteristics and electronic transport are
very sensitive to the dressing field. Particularly, the field strongly changes
the spectra of optical absorption and the Shubnikov-de Haas oscillations. As a
result, the developed theory opens a way for controlling magnetoelectronic
properties of graphene with light.
