  It is well known that collective electronic excitations in fullerene C$_{60}$
are manifested as Mie plasmons, and in graphene (the limiting case of an
infinitely large fullerene) collective excitations are of plasmon-polariton
type. How the properties of plasmons change in fullerenes with intermediate
sizes is poorly understood. This problem is considered in current paper in the
framework of the GW approximation on the example of fullerenes C$_{60}$,
C$_{240}$ and C$_{540}$. The calculations show that a high-frequency
plasmon-polariton resonance begins to form in C$_{240}$, and in C$_{540}$ the
intensity of this resonance becomes comparable to the intensity of Mie plasmon
resonance. Thus with a further increase in fullerene size, a gradual transition
from Mie plasmons to plasmon-polaritons should be observed.
