  We study dispersion properties of TM-polarized electromagnetic waves guided
by a multilayer graphene metamaterial. We demonstrate that both dispersion and
localization of the guided modes can be efficiently controlled by changing the
number of layers in the structure. Remarkably, we find that in the long
wavelength limit, the dispersion of the fundamental mode of the N-layer
graphene structure coincides with the dispersion of a plasmon mode supported by
a single graphene layer, but with N times larger conductivity. We also compare
our exact dispersion relations with the results provided by the effective media
model.
