  The current flow along the boundary of graphene stripes in a perpendicular
magnetic field is studied theoretically by the nonequilibrium Green's function
method. In the case of specular reflections at the boundary, the Hall
resistance shows equidistant peaks, which are due to classical cyclotron
motion. When the strength of the magnetic field is increased, anomalous
resistance oscillations are observed, similar to those found in a
nonrelativistic 2D electron gas [New. J. Phys. 15:113047 (2013)]. Using a
simplified model, which allows to solve the Dirac equation analytically, the
oscillations are explained by the interference between the occupied edge states
causing beatings in the Hall resistance. A rule of thumb is given for the
experimental observability. Furthermore, the local current flow in graphene is
affected significantly by the boundary geometry. A finite edge current flows on
armchair edges, while the current on zigzag edges vanishes completely. The
quantum Hall staircase can be observed in the case of diffusive boundary
scattering. The number of spatially separated edge channels in the local
current equals the number of occupied Landau levels. The edge channels in the
local density of states are smeared out but can be made visible if only a
subset of the carbon atoms is taken into account.
