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We consider electronic spectra of graphene nanotubes and their perturbationby impurity atoms absorbed at different positions on nanotube surfaces, withinthe framework of Anderson hybrid model. A special attention is given to thecases when Dirac-like 1D modes appear in the nanotube spectrum and theirhybridization with localized impurity states produces, at growing impurityconcentration $c$, onset of a mobility gap near the impurity level and evenopening, at yet higher $c$, of some narrow delocalized range within thismobility gap. Such behaviors are compared with the similar effects in thepreviously studied 2D graphene and armchair type graphene nanoribbons. Somepossible practical applications are discussed.

Topological conditions for impurity effects in graphene nanosystems