  We study theoretically and numerically the conditions required for the
appearance of a superradiance transition in graphene. The electron properties
of graphene are described in the single $p_z$-orbital tight-binding
approximation, in which the model is reduced to the effective two-level
pseudo-spin $1/2$ system. For each level we introduce the electron transfer
rate of escape into a continuum. We demonstrate that, under some conditions,
the superradiance experiences the maximal quantum coherent escape to the
continuum.
