  Edge electron states localized at the magnetic domain wall in a graphene
monolayer with Rashba spin-orbit interaction and coupled to a magnetic
overlayer are studied analytically. It is shown that two one-dimensional bands
of edge modes propagating along the domain wall emerge in the energy gap for
each Dirac point, and the modes associated with different Dirac points K and K'
are related by symmetry of the system. The coefficients describing decay of the
corresponding wavefunctions with distance from the domain wall contain
generally imaginary terms. Numerical results on the local spin density and on
the total spin expected in the edge states characterized by the wavenumber
$k_y$ are presented and discussed.
