  A balance-equation scheme is developed to investigate the magnetotransport in
a dc-current-biased graphene. We examine the Shubnikov-de Haas oscillation
under a nonzero bias current. With an increase in the current density, the
oscillatory differential resistivity exhibits phase inversion, in agreement
with recent experimental observation. In the presence of surface optical
phonons, a second phase inversion may occur at higher dc bias, due to the
reduced influence of electron-heating and the enhanced direct effect of current
on differential magnetoresistivity. We also predict the appearance of
current-induced magnetoresistance oscillation in suspended graphene at lower
magnetic fields and larger current densities. For the graphene mobility
currently available ($\approx 20\,{\rm m^2/Vs}$), the oscillatory behavior may
be somewhat altered by magnetophonon resonance arising from intrinsic acoustic
phonon under finite bias current condition.
