  The present manuscript summarizes the modern view on the problem of the
graphene-metal interaction. Presently, the close-packed surfaces of d metals
are used as templates for the preparation of highly-ordered graphene layers.
Different classifications can be introduced for these systems: graphene on
lattice-matched and graphene on lattice-mismatched surfaces where the
interaction with the metallic substrate can be either "strong" or "weak". Here
these classifications, with the focus on the specific features in the
electronic structure in all cases, are considered on the basis of large amounts
of experimental and theoretical data, summarized and discussed. The
perspectives of the graphene-metal interface in fundamental and applied physics
and chemistry are pointed out.
