  We investigate, both theoretically and numerically, a graphene-coated
nano-cylinder illuminated by a plane electromagnetic wave in THz range of
frequencies. We have derived an analytical formula that enables fast evaluation
of the spectral window with a substantial reduction in scattering efficiency
for sufficiently thin cylinder. This effect leads to tunable resonant
invisibility that can be achieved via modification of graphene chemical
potential monitored by the gate voltage. A multi-frequency cloaking mechanism
based on dimer coated nanowires is also discussed.
