  In this paper we consider modification of electronic properties of
graphene-based topological insulator in the presence of wedge disclination and
magnetic field by adopting the Kane-Mele model with intrinsic spin-orbit
coupling. Using the properly defined Dirac-Weyl equation for this system, an
exact solution for the Landau levels is obtained. The influence of the
topological defect on the evolution of Landau levels is discussed.
