  The effect of the long-range Coulomb interaction on the realization of the
Kohn-Luttinger superconductivity in idealized monolayer doped graphene is
studied. It is shown that the allowance for the Kohn-Luttinger renormalizations
up to the second order in perturbation theory in the on-site Hubbard
interaction inclusively, as well as the intersite Coulomb interaction
significantly affects the competition between the superconducting phases with
the $f$-wave, $p+ip$-wave and $d + id$-wave symmetries of the order parameter.
It is shown that the account for the Coulomb repulsion of electrons located at
the next-nearest neighboring atoms in such a system changes qualitatively the
phase diagram and enhances the critical superconducting temperature.
