  The magnetic effects in ferromagnetic graphene basically depend on the
principle of exchange interaction when ferromagntism is induced by depositing
an insulator layer on graphene. Here we deal with the consequences of
non-uniformity in the exchange coupling strength of the ferromagnetic graphene.
We discuss how the in- homogeneity in the coordinate and momentum of the
exchange vector field can provide interesting results in the conductivity
analysis of the ferromagnetic graphene. Our analysis is based on the Kubo
formalism of quantum transport.
