  Idealized graphene monolayer is considered neglecting the van der Waals
potential of the substrate and the role of the nonmagnetic impurities. The
effect of the long-range Coulomb repulsion in an ensemble of Dirac fermions on
the formation of the superconducting pairing in a monolayer is studied in the
framework of the Kohn-Luttinger mechanism. The electronic structure of graphene
is described in the strong coupling Wannier representation on the hexagonal
lattice. We use the Shubin-Vonsowsky model which takes into account the intra-
and intersite Coulomb repulsions of electrons. The Cooper instability is
established by solving the Bethe-Salpeter integral equation, in which the role
of the effective interaction is played by the renormalized scattering
amplitude. The renormalized amplitude contains the Kohn-Luttinger polarization
contributions up to and including the second-order terms in the Coulomb
repulsion. We construct the superconductive phase diagram for the idealized
graphene monolayer and show that the Kohn-Luttinger renormalizations and the
intersite Coulomb repulsion significantly affect the interplay between the
superconducting phases with $f-$, $d+id-$, and $p+ip-$wave symmetries of the
order parameter.
